
Time bar (total: 9.4s)
| 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)
| 775.0ms | 6 703× | 0 | valid |
| 300.0ms | 1 288× | 1 | valid |
| 119.0ms | 265× | 2 | valid |
ival-pow: 422.0ms (49.5% of total)ival-<=: 146.0ms (17.1% of total)ival-add: 129.0ms (15.1% of total)adjust: 59.0ms (6.9% of total)ival-sub: 50.0ms (5.9% of total)ival-and: 23.0ms (2.7% of total)exact: 22.0ms (2.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 1 | (2.0640635634095048e-60 3.820510970041729e-86) | 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 | 44 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 43 | 0 |
| - | 1 | 212 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 43 | 0 | 0 |
| - | 1 | 0 | 212 |
| number | freq |
|---|---|
| 0 | 212 |
| 1 | 44 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 412× | 0 | valid |
| 13.0ms | 80× | 1 | valid |
| 4.0ms | 20× | 2 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-pow: 20.0ms (64.1% of total)ival-add: 4.0ms (12.8% of total)adjust: 3.0ms (9.6% of total)ival-sub: 3.0ms (9.6% of total)ival-true: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)exact: 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 |
|---|---|---|
| ▶ | 85.6% | (-.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 | 0.043932580462863836 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 9.128979215059099 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 15.0ms | 206× | 0 | valid |
| 8.0ms | 40× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 10.0ms (59.1% of total)ival-add: 3.0ms (17.7% of total)adjust: 2.0ms (11.8% of total)ival-sub: 1.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 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)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 347 | 13 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 347 | 14 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| 12.3% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) | |
| ▶ | 85.5% | (-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 85.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 27.1% | (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) | |
| ▶ | 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 83.5% | #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)))) | |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| 82.6% | #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)) | |
| ▶ | 82.1% | #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)))) |
| 82.1% | #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)))) | |
| ▶ | 75.0% | #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)))) |
| ▶ | 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 75.0% | #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)))) | |
| 81.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
Compiled 511 to 343 computations (32.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) | |
| cost-diff | 128 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) | |
| cost-diff | 6464 | (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 1024 | (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) | |
| cost-diff | 2240 | (+.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)))) | |
| 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 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| cost-diff | 128 | (neg.f64 (-.f64 x eps)) | |
| cost-diff | 384 | (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) | |
| cost-diff | 1088 | (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 511 |
| 0 | 95 | 507 |
| 1 | 179 | 483 |
| 2 | 425 | 450 |
| 3 | 1504 | 432 |
| 4 | 5584 | 414 |
| 0 | 8250 | 397 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) |
(-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (neg.f64 eps) eps) |
(neg.f64 eps) |
eps |
(neg.f64 (-.f64 x eps)) |
(-.f64 x eps) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
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 (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 (+.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 (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)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 x eps)) |
#s(literal 2 binary64) |
(/.f64 x eps) |
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))) |
(*.f64 #s(literal 8 binary64) (/.f64 x eps)) |
#s(literal 8 binary64) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(*.f64 x x) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
(-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) |
(pow.f64 (*.f64 (+.f64 eps x) #s(literal 1 binary64)) #s(literal 5 binary64)) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) |
(*.f64 (+.f64 eps x) #s(literal 1 binary64)) |
(-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) |
(*.f64 (+.f64 eps x) (-.f64 eps x)) |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
x |
(*.f64 (neg.f64 eps) eps) |
(neg.f64 eps) |
eps |
(neg.f64 (-.f64 x eps)) |
(-.f64 eps x) |
(-.f64 x eps) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
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 #s(literal 10 binary64) eps) (/.f64 eps x)) |
(*.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 (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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.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 (fma.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.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)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) (/.f64 x eps) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) (/.f64 x eps) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 x eps)) |
(*.f64 (/.f64 x eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 x eps) |
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))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (/.f64 x eps) #s(literal 5 binary64)) (/.f64 x eps)) |
(*.f64 #s(literal 8 binary64) (/.f64 x eps)) |
#s(literal 8 binary64) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 x eps) x) (fma.f64 (/.f64 #s(literal -10 binary64) eps) x #s(literal -10 binary64)) (*.f64 #s(literal -5 binary64) x)) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 x eps) x) (fma.f64 (/.f64 #s(literal -10 binary64) eps) x #s(literal -10 binary64)) (*.f64 #s(literal -5 binary64) x)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 x eps) x) (fma.f64 (/.f64 #s(literal -10 binary64) eps) x #s(literal -10 binary64)) (*.f64 #s(literal -5 binary64) x)) eps)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) |
(/.f64 (fma.f64 (*.f64 (/.f64 x eps) x) (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
(fma.f64 (*.f64 (/.f64 x eps) x) (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(*.f64 (*.f64 (/.f64 x eps) x) (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 10 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(*.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) x #s(literal -10 binary64)) (*.f64 x x)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 9.856100006483576 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) | |
| accuracy | 10.34851156213395 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 10.476044540275725 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) | |
| accuracy | 17.097873420423017 | (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.17578125 | (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) | |
| accuracy | 0.26171875 | (*.f64 (/.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 10.330723934441247 | #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)))) | |
| accuracy | 10.397942537817068 | (*.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))) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 0.8006457336278093 | (*.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 | 11.358798046096593 | #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 | 14.495997062027408 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 10.833462820975345 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.0078125 | (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) | |
| accuracy | 0.043932580462863836 | (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) | |
| accuracy | 9.128979215059099 | (-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| accuracy | 14.025194162260119 | (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) |
| 151.0ms | 54× | 1 | valid |
| 130.0ms | 189× | 0 | valid |
| 13.0ms | 13× | 2 | valid |
Compiled 453 to 56 computations (87.6% saved)
ival-mult: 144.0ms (56.2% of total)ival-div: 52.0ms (20.3% of total)ival-pow: 29.0ms (11.3% of total)ival-add: 11.0ms (4.3% of total)adjust: 8.0ms (3.1% of total)ival-sub: 6.0ms (2.3% of total)ival-neg: 4.0ms (1.6% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) (patch (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (patch (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 x eps)) (patch (neg.f64 (-.f64 x eps)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (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 (+.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)))) (patch (+.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)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) (patch (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (patch (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (patch (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (patch (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 eps) (#s(alt (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) (patch (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) (patch (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) (patch (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) (patch (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 eps) (#s(alt (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (patch (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow eps 2) (pow x 2)) (taylor 0 eps) (#s(alt (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (patch (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow eps 2) (pow x 2)) (taylor 0 eps) (#s(alt (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (patch (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow eps 2) (pow x 2)) (taylor 0 eps) (#s(alt (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (patch (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 eps) (#s(alt (neg.f64 (-.f64 x eps)) (patch (neg.f64 (-.f64 x eps)) #<representation binary64>) () ())) ()) |
#s(alt (- eps x) (taylor 0 eps) (#s(alt (neg.f64 (-.f64 x eps)) (patch (neg.f64 (-.f64 x eps)) #<representation binary64>) () ())) ()) |
#s(alt (- eps x) (taylor 0 eps) (#s(alt (neg.f64 (-.f64 x eps)) (patch (neg.f64 (-.f64 x eps)) #<representation binary64>) () ())) ()) |
#s(alt (- eps x) (taylor 0 eps) (#s(alt (neg.f64 (-.f64 x eps)) (patch (neg.f64 (-.f64 x eps)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | ((/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (- (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)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (* (* eps eps) -10) (* (/ x eps) 5) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5))) |
| 11.0ms | x | @ | -inf | ((/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (- (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)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (* (* eps eps) -10) (* (/ x eps) 5) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5))) |
| 9.0ms | eps | @ | 0 | ((/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (- (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)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (* (* eps eps) -10) (* (/ x eps) 5) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5))) |
| 9.0ms | eps | @ | inf | ((/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (- (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)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (* (* eps eps) -10) (* (/ x eps) 5) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5))) |
| 7.0ms | x | @ | 0 | ((/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (- (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)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (* (* eps eps) -10) (* (/ x eps) 5) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 770 | 9232 |
| 1 | 2712 | 8484 |
| 0 | 8095 | 8012 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(* -1 (pow x 2)) |
(- (pow eps 2) (pow x 2)) |
(- (pow eps 2) (pow x 2)) |
(- (pow eps 2) (pow x 2)) |
(* -1 x) |
(- eps x) |
(- eps x) |
(- eps x) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow 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))))) |
(/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (pow eps 2)) |
(/ (+ (* 2 (pow x 2)) (+ (* 5 (* eps x)) (* 8 (pow x 2)))) (pow eps 2)) |
(/ (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x))))) (pow eps 2)) |
(/ (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x))))) (pow eps 2)) |
(* 8 (/ (pow x 2) (pow eps 2))) |
(/ (+ (* 5 (* eps x)) (* 8 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 8 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 8 (pow x 2))) (pow eps 2)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (+ (* 5 (* eps x)) (* 8 (pow x 2))))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* -10 (/ (pow x 3) eps)) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow x 5) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) (pow x 5)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) |
eps |
(* eps (+ 1 (* -1 (/ x eps)))) |
(* eps (+ 1 (* -1 (/ x eps)))) |
(* eps (+ 1 (* -1 (/ x eps)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -1 (/ (pow x 2) (pow eps 2))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (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) |
(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)))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (pow eps 2)))))) |
(+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (pow eps 2)))))) |
(* 5 (/ x eps)) |
(/ (+ (* 5 x) (* 8 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 8 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 8 (/ (pow x 2) eps))) eps) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (pow eps 2))))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (pow eps 2))))))) |
(* -10 (pow x 2)) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(* 10 (/ (pow x 2) eps)) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -1 (/ (pow x 2) (pow eps 2))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) |
eps |
(* -1 (* eps (- (/ x eps) 1))) |
(* -1 (* eps (- (/ x eps) 1))) |
(* -1 (* eps (- (/ x eps) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (- (+ x (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (pow x 2) eps)) (* 4 x)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps))))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* (+ x (* 4 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) eps))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* 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)))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) eps))) eps))) |
(+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) eps))) eps))) |
(* 5 (/ x eps)) |
(* -1 (/ (+ (* -8 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -8 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -8 (/ (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))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 2 (/ (pow x 2) eps)) (+ (* 5 x) (* 8 (/ (pow x 2) eps)))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 2 (/ (pow x 2) eps)) (+ (* 5 x) (* 8 (/ (pow x 2) eps)))) eps)) 1))) |
(* -10 (pow x 2)) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(* 10 (/ (pow x 2) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (- (+ x (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (pow x 2) eps)) (* 4 x)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps))))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* (+ x (* 4 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) eps))) eps)) (* 4 x))) eps)) 1))) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(pow eps 2) |
(- (* -1 (pow x 2)) (* -1 (pow eps 2))) |
(- (* -1 (pow x 2)) (* -1 (pow eps 2))) |
(- (* -1 (pow x 2)) (* -1 (pow eps 2))) |
eps |
(+ eps (* -1 x)) |
(+ eps (* -1 x)) |
(+ eps (* -1 x)) |
(pow eps 5) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (+ (* -1 (* x (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5)))))) (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))))) (pow eps 5)) |
(+ (* x (+ (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))) (* x (+ (* -1 (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (* x (+ (* -1 (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 5)) (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (pow eps 5))))))))) (pow eps 5)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 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)))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 5 (/ x eps)) |
(* x (+ (* 8 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 8 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 8 (/ x (pow eps 2))) (* 5 (/ 1 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)) |
(* -10 (pow x 2)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (+ (* -1 (* x (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5)))))) (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))))) (pow eps 5)) |
(+ (* x (+ (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))) (* x (+ (* -1 (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (* x (+ (* -1 (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 5)) (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (pow eps 5))))))))) (pow eps 5)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x 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)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 1)) |
(* -1 x) |
(* x (- (/ eps x) 1)) |
(* x (- (/ eps x) 1)) |
(* x (- (/ eps x) 1)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2))))))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow eps 4)) (* 8 (pow eps 4)))) (+ (* -4 (pow eps 4)) (+ (* -1 (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* -1 (pow eps 4)) (+ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))))))) (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))))))) (pow x 3))) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (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) |
(+ (* 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) (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))))) |
(* 8 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 8 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 8 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 8 (/ 1 (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 3) eps)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (+ (* 4 (/ eps x)) (/ eps x))))) |
(* (pow x 5) (+ 1 (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (/ eps x) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 3)))))))))) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ eps x))))) |
(* -1 (* x (+ 1 (* -1 (/ eps x))))) |
(* -1 (* x (+ 1 (* -1 (/ eps x))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (- (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 2 (/ (pow eps 4) x)) (+ (* 4 (pow eps 3)) (+ (* 8 (/ (pow eps 4) x)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))))) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)) (+ (* 4 (/ (pow eps 4) x)) (+ (/ (* (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) x) (/ (pow eps 4) x)))))) x))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 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) (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))))) |
(* 8 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 8 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 8 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 8 (/ 1 (pow eps 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 3) eps)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x))))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps))) x)) 1))) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 5 (/ x eps)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
| Outputs |
|---|
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(- (pow eps 2) (pow x 2)) |
(*.f64 (+.f64 eps x) (-.f64 eps x)) |
(- (pow eps 2) (pow x 2)) |
(*.f64 (+.f64 eps x) (-.f64 eps x)) |
(- (pow eps 2) (pow x 2)) |
(*.f64 (+.f64 eps x) (-.f64 eps x)) |
(* -1 x) |
(neg.f64 x) |
(- eps x) |
(-.f64 eps x) |
(- eps x) |
(-.f64 eps x) |
(- eps x) |
(-.f64 eps x) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(*.f64 (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))))) eps (neg.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
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(pow x 5) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* 5 eps) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* 5 (* eps (pow x 4))) |
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(* (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 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* 10 (/ (pow eps 2) x)) |
(*.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 x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) 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 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 (*.f64 x x) eps)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) |
(* 8 (/ (pow x 2) (pow eps 2))) |
(*.f64 (/.f64 #s(literal 8 binary64) eps) (/.f64 (*.f64 x x) eps)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 8 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 8 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 8 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (*.f64 x x)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) 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 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.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))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(*.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) 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 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 5 binary64) eps) x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x))))) x)) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal -5 binary64) (*.f64 #s(literal 5 binary64) eps)) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (neg.f64 x)))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -5 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) (*.f64 #s(literal 5 binary64) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))))) (neg.f64 x)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -5 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (neg.f64 (*.f64 #s(literal -10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -10 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -10 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 356 |
| 0 | 95 | 352 |
| 1 | 377 | 298 |
| 2 | 3322 | 298 |
| 0 | 8889 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) |
(-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) |
(neg.f64 (-.f64 x eps)) |
(-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
(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))) |
(+.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)))) |
(fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x 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 (+.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))) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
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Compiled 33 423 to 3 931 computations (88.2% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 159 | 15 | 1 174 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 167 | 21 | 1 188 |
| Status | Accuracy | Program |
|---|---|---|
| 12.3% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) | |
| ✓ | 85.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 85.6% | (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 27.1% | (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) | |
| 83.5% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- 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)))) | |
| 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| ▶ | 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
| 74.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) | |
| ✓ | 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| 82.6% | #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)) | |
| 32.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 81.7% | #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))) | |
| ▶ | 20.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64)))) |
| 82.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| 81.8% | #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)))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps)))) | |
| ▶ | 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
| ▶ | 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
| 82.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 757 to 510 computations (32.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 1152 | (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) | |
| 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- 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) (*.f64 (*.f64 x x) (+.f64 eps x))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) | |
| cost-diff | 0 | (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| cost-diff | 192 | (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) | |
| cost-diff | 256 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 687 |
| 0 | 120 | 683 |
| 1 | 250 | 659 |
| 2 | 633 | 592 |
| 3 | 2395 | 572 |
| 0 | 8291 | 550 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) |
#s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal -1 binary64) |
(neg.f64 x) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) |
#s(literal 10 binary64) |
(*.f64 (*.f64 x x) (+.f64 eps x)) |
(*.f64 x x) |
x |
(+.f64 eps x) |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- 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 |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (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)) |
eps |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (/.f64 #s(literal 5 binary64) eps) x) |
(/.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(/.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (fma.f64 (/.f64 eps x) x x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) |
(pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (fma.f64 (/.f64 eps x) x x)) #s(literal 5 binary64)) |
#s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) |
#s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (fma.f64 (/.f64 eps x) x x)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (/.f64 eps x) x x) |
(fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 eps x)) |
(/.f64 eps x) |
eps |
x |
#s(literal -1 binary64) |
(neg.f64 x) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) (*.f64 (+.f64 eps x) x)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) (*.f64 (+.f64 eps x) x))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) (*.f64 (+.f64 eps x) x)) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) |
#s(literal 10 binary64) |
(*.f64 (*.f64 x x) (+.f64 eps x)) |
(*.f64 (*.f64 (+.f64 eps x) x) x) |
(*.f64 x x) |
x |
(+.f64 eps x) |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- 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 |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
#s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 eps #s(literal 3 binary64)) |
eps |
#s(literal 3 binary64) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 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) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (fma.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 5 binary64) eps) x) (/.f64 (/.f64 #s(literal -10 binary64) eps) eps)) x) x #s(literal 1 binary64))))) |
(*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (fma.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 5 binary64) eps) x) (/.f64 (/.f64 #s(literal -10 binary64) eps) eps)) x) x #s(literal 1 binary64)))) |
#s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (fma.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 5 binary64) eps) x) (/.f64 (/.f64 #s(literal -10 binary64) eps) eps)) x) x #s(literal 1 binary64))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 5 binary64) eps) x) (/.f64 (/.f64 #s(literal -10 binary64) eps) eps)) x) x #s(literal 1 binary64)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 5 binary64) eps) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -10 binary64) eps) eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 5 binary64) eps) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (/.f64 #s(literal 5 binary64) eps) x) |
(/.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(/.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.94528153745309 | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) | |
| accuracy | 10.330723934441247 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 10.397942537817068 | (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 33.93178220110854 | (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) | |
| accuracy | 0.10443245945400718 | (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))) | |
| accuracy | 0.1950187988422101 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 10.330723934441247 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) | |
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.03125 | (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) | |
| accuracy | 0.08660126953688403 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 11.608879322937803 | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x x) (+.f64 eps x)) | |
| accuracy | 0.1392338132413075 | (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) | |
| accuracy | 10.34851156213395 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) | |
| accuracy | 11.23511145236416 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps))) | |
| accuracy | 0 | #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) | |
| accuracy | 0.043932580462863836 | (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) | |
| accuracy | 9.128979215059099 | (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 158.0ms | 196× | 0 | valid |
| 144.0ms | 49× | 1 | valid |
| 13.0ms | 10× | 2 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 438 to 75 computations (82.9% saved)
ival-mult: 196.0ms (68.7% of total)ival-pow: 31.0ms (10.9% of total)ival-div: 20.0ms (7% of total)ival-add: 16.0ms (5.6% of total)adjust: 10.0ms (3.5% of total)ival-sub: 6.0ms (2.1% of total)ival-neg: 4.0ms (1.4% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (patch (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps))) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) (patch (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- 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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) (patch #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))) (patch (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (pow.f64 eps #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) (patch (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (patch #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (+.f64 eps x)) (patch (*.f64 (*.f64 x x) (+.f64 eps x)) #<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 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (patch (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 eps) (#s(alt (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ eps x)) 1) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ eps x)) 1) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((* (+ (* (/ eps x) -1) -1) (neg x)) (+ (* (/ eps x) -1) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (* (pow eps 3) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x)))) (pow eps 3) (* (+ (+ (/ 1 (* x x)) (/ (/ 5 eps) x)) (/ 10 (* eps eps))) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* 10 (* x x)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (/ 1 (* x x)) (/ (/ 5 eps) x))) |
| 5.0ms | x | @ | inf | ((* (+ (* (/ eps x) -1) -1) (neg x)) (+ (* (/ eps x) -1) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (* (pow eps 3) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x)))) (pow eps 3) (* (+ (+ (/ 1 (* x x)) (/ (/ 5 eps) x)) (/ 10 (* eps eps))) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* 10 (* x x)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (/ 1 (* x x)) (/ (/ 5 eps) x))) |
| 5.0ms | eps | @ | 0 | ((* (+ (* (/ eps x) -1) -1) (neg x)) (+ (* (/ eps x) -1) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (* (pow eps 3) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x)))) (pow eps 3) (* (+ (+ (/ 1 (* x x)) (/ (/ 5 eps) x)) (/ 10 (* eps eps))) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* 10 (* x x)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (/ 1 (* x x)) (/ (/ 5 eps) x))) |
| 5.0ms | x | @ | -inf | ((* (+ (* (/ eps x) -1) -1) (neg x)) (+ (* (/ eps x) -1) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (* (pow eps 3) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x)))) (pow eps 3) (* (+ (+ (/ 1 (* x x)) (/ (/ 5 eps) x)) (/ 10 (* eps eps))) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* 10 (* x x)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (/ 1 (* x x)) (/ (/ 5 eps) x))) |
| 4.0ms | eps | @ | -inf | ((* (+ (* (/ eps x) -1) -1) (neg x)) (+ (* (/ eps x) -1) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (* (pow eps 3) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x)))) (pow eps 3) (* (+ (+ (/ 1 (* x x)) (/ (/ 5 eps) x)) (/ 10 (* eps eps))) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* 10 (* x x)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (/ 1 (* x x)) (/ (/ 5 eps) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 770 | 10979 |
| 1 | 2737 | 10180 |
| 0 | 8119 | 9597 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
-1 |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
(pow x 5) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) (pow x 5)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* 10 (pow x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (+ (* 5 (* eps x)) (* 8 (pow x 2))))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(* 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)) |
(* 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 3) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (+ (* 5 (* eps x)) (* 8 (pow x 2))))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* (pow eps 3) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (pow eps 2)) |
(/ (+ (* 2 (pow x 2)) (+ (* 5 (* eps x)) (* 8 (pow x 2)))) (pow eps 2)) |
(/ (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x))))) (pow eps 2)) |
(/ (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ eps (* 5 x))))) (pow eps 2)) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(pow x 3) |
(+ (* eps (pow x 2)) (pow x 3)) |
(+ (* eps (pow x 2)) (pow x 3)) |
(+ (* eps (pow x 2)) (pow x 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)))) |
(/ 5 (* eps x)) |
(/ (+ (* 5 (/ 1 x)) (/ eps (pow x 2))) eps) |
(/ (+ (* 5 (/ 1 x)) (/ eps (pow x 2))) eps) |
(/ (+ (* 5 (/ 1 x)) (/ eps (pow x 2))) eps) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (/ eps x)) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -1 (/ (pow x 2) (pow eps 2))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -1 (/ (pow x 2) (pow eps 2))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (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)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 (* 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 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -1 (/ (pow x 2) (pow eps 2))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 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 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (pow eps 2))))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (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)))))) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(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 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (pow eps 2))))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (pow eps 2))))))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (pow eps 2)))))) |
(+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 8 (/ (pow x 2) (pow eps 2)))))) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (pow x 2)) |
(* eps (+ (/ (pow x 3) eps) (pow x 2))) |
(* eps (+ (/ (pow x 3) eps) (pow x 2))) |
(* eps (+ (/ (pow x 3) eps) (pow x 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)))))) |
(/ 1 (pow x 2)) |
(+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2))) |
(+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2))) |
(+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (/ eps x)) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (- (+ x (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (pow x 2) eps)) (* 4 x)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps))))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* (+ x (* 4 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (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 (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (pow x 2) eps)) (* 4 x)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps))))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* (+ x (* 4 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) eps))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* 10 (* 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 (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (pow x 2) eps)) (* 4 x)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps))))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* (+ x (* 4 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (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 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 (/ (+ (* 2 (/ (pow x 2) eps)) (+ (* 5 x) (* 8 (/ (pow x 2) eps)))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 2 (/ (pow x 2) eps)) (+ (* 5 x) (* 8 (/ (pow x 2) eps)))) 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) |
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))) |
(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 (/ (+ (* 2 (/ (pow x 2) eps)) (+ (* 5 x) (* 8 (/ (pow x 2) eps)))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 2 (/ (pow x 2) eps)) (+ (* 5 x) (* 8 (/ (pow x 2) eps)))) eps)) 1))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) eps))) eps))) |
(+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) eps))) eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* eps (pow x 2)) |
(* -1 (* eps (+ (* -1 (/ (pow x 3) eps)) (* -1 (pow x 2))))) |
(* -1 (* eps (+ (* -1 (/ (pow x 3) eps)) (* -1 (pow x 2))))) |
(* -1 (* eps (+ (* -1 (/ (pow x 3) eps)) (* -1 (pow x 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)))) |
(/ 1 (pow x 2)) |
(+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2))) |
(+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2))) |
(+ (* 5 (/ 1 (* eps x))) (/ 1 (pow x 2))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(* -1 (/ eps x)) |
(/ (+ (* -1 eps) (* -1 x)) x) |
(/ (+ (* -1 eps) (* -1 x)) x) |
(/ (+ (* -1 eps) (* -1 x)) x) |
(pow eps 5) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (+ (* -1 (* x (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5)))))) (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))))) (pow eps 5)) |
(+ (* x (+ (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))) (* x (+ (* -1 (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (* x (+ (* -1 (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 5)) (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (pow eps 5))))))))) (pow eps 5)) |
(pow eps 5) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (+ (* -1 (* x (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5)))))) (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))))) (pow eps 5)) |
(+ (* x (+ (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))) (* x (+ (* -1 (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (* x (+ (* -1 (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 5)) (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (pow eps 5))))))))) (pow eps 5)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* 10 (* 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) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (+ (* -1 (* x (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5)))))) (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))))) (pow eps 5)) |
(+ (* x (+ (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))) (* x (+ (* -1 (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (* x (+ (* -1 (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 5)) (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (pow eps 5))))))))) (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 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 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)) |
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))))) |
(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)) |
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))))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(* eps (pow x 2)) |
(* (pow x 2) (+ eps x)) |
(* (pow x 2) (+ eps x)) |
(* (pow x 2) (+ eps x)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(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)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 5 (/ x eps))) (pow x 2)) |
(/ (+ 1 (* 5 (/ x eps))) (pow x 2)) |
(/ (+ 1 (* 5 (/ x eps))) (pow x 2)) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
-1 |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2))))))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow eps 4)) (* 8 (pow eps 4)))) (+ (* -4 (pow eps 4)) (+ (* -1 (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* -1 (pow eps 4)) (+ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))))))) (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))))))) (pow x 3))) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2)))))))))) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (+ (* 4 (/ eps x)) (/ eps x))))) |
(* (pow x 5) (+ 1 (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (/ eps x) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 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)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2))))))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow eps 4)) (* 8 (pow eps 4)))) (+ (* -4 (pow eps 4)) (+ (* -1 (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* -1 (pow eps 4)) (+ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))))))) (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))))))) (pow x 3))) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2)))))))))) |
(* 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 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 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) (+ (* 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))))) |
(* (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 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))))) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ eps x))) |
(* (pow x 3) (+ 1 (/ eps x))) |
(* (pow x 3) (+ 1 (/ eps x))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (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))))) |
(/ 5 (* eps x)) |
(/ (+ (* 5 (/ 1 eps)) (/ 1 x)) x) |
(/ (+ (* 5 (/ 1 eps)) (/ 1 x)) x) |
(/ (+ (* 5 (/ 1 eps)) (/ 1 x)) x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
-1 |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (- (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 2 (/ (pow eps 4) x)) (+ (* 4 (pow eps 3)) (+ (* 8 (/ (pow eps 4) x)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))))) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)) (+ (* 4 (/ (pow eps 4) x)) (+ (/ (* (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) x) (/ (pow eps 4) x)))))) x))) x)) (* 4 eps)))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x))))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps))) x)) 1))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 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))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (- (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 2 (/ (pow eps 4) x)) (+ (* 4 (pow eps 3)) (+ (* 8 (/ (pow eps 4) x)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))))) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)) (+ (* 4 (/ (pow eps 4) x)) (+ (/ (* (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) x) (/ (pow eps 4) x)))))) 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) |
(* (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 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) (+ (* 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))))) |
(* (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 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))))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ eps x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ eps x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ eps x)) 1))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 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)))) |
(/ 5 (* eps x)) |
(/ (+ (* 5 (/ 1 eps)) (/ 1 x)) x) |
(/ (+ (* 5 (/ 1 eps)) (/ 1 x)) x) |
(/ (+ (* 5 (/ 1 eps)) (/ 1 x)) x) |
| Outputs |
|---|
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ eps x)) 1) |
(fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ eps x)) 1) |
(fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ eps x)) 1) |
(fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(*.f64 (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))))) eps (neg.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -5 binary64) x (fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))))))) (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))) eps (neg.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.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 (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))))) eps (neg.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))))) eps (*.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)) (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 (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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x |
(+ eps x) |
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(+ eps x) |
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eps |
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(pow x 5) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (- (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 2 (/ (pow eps 4) x)) (+ (* 4 (pow eps 3)) (+ (* 8 (/ (pow eps 4) x)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))))) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)) (+ (* 4 (/ (pow eps 4) x)) (+ (/ (* (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) x) (/ (pow eps 4) x)))))) x))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (-.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -5 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))))) (/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) eps) (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 8 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -5 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) (*.f64 #s(literal 5 binary64) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) eps)) (/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) eps) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -5 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) (*.f64 #s(literal 5 binary64) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))))) x) (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) eps)) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -5 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x)))))) x)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (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)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (*.f64 (*.f64 eps eps) #s(literal -4 binary64)))) 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 -4 binary64) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -4 binary64) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.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))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.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))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 (*.f64 x x) eps)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 #s(literal 5 binary64) (*.f64 eps x))) (*.f64 x x)) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (*.f64 (*.f64 eps eps) #s(literal -4 binary64)))) 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 -4 binary64) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -4 binary64) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.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))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 (*.f64 x x) eps)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 #s(literal 5 binary64) (*.f64 eps x))) (*.f64 x x)) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x)) x)) (*.f64 x x)) |
(/ 5 (* eps x)) |
(/.f64 #s(literal 5 binary64) (*.f64 eps x)) |
(/ (+ (* 5 (/ 1 eps)) (/ 1 x)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (+ (* 5 (/ 1 eps)) (/ 1 x)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (+ (* 5 (/ 1 eps)) (/ 1 x)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 598 |
| 0 | 120 | 594 |
| 1 | 543 | 510 |
| 2 | 5258 | 510 |
| 0 | 8465 | 489 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- 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)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (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)) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (*.f64 x x) (+.f64 eps x)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) |
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Compiled 21 433 to 2 785 computations (87% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 893 | 14 | 907 |
| Fresh | 3 | 11 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 900 | 28 | 928 |
| Status | Accuracy | Program |
|---|---|---|
| 12.3% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) | |
| ✓ | 85.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 85.6% | (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 27.1% | (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) | |
| 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) | |
| ▶ | 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
| 81.7% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| ✓ | 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
| ▶ | 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
| 81.7% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) | |
| ✓ | 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| 82.6% | #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)) | |
| 32.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 81.7% | #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))) | |
| 82.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps)))) | |
| 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) | |
| 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) | |
| 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) | |
| 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) | |
| ▶ | 67.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) | |
| 82.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 973 to 656 computations (32.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) | |
| cost-diff | 0 | (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 128 | (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) | |
| cost-diff | 320 | (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) | |
| cost-diff | 0 | (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) | |
| cost-diff | 0 | (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| cost-diff | 128 | (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) | |
| cost-diff | 1152 | (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 681 |
| 0 | 109 | 694 |
| 1 | 207 | 635 |
| 2 | 495 | 605 |
| 3 | 1791 | 587 |
| 4 | 5157 | 541 |
| 5 | 7477 | 531 |
| 0 | 8058 | 526 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) |
#s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) |
(+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 eps) x) |
(neg.f64 eps) |
eps |
x |
#s(literal -1 binary64) |
(neg.f64 x) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)) |
(*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) |
#s(literal 10 binary64) |
#s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) |
(*.f64 (*.f64 x x) eps) |
(*.f64 x x) |
x |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) |
#s(literal 5 binary64) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
eps |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (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 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (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 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps)) |
#s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) |
(/.f64 x eps) |
eps |
#s(literal -10 binary64) |
(*.f64 x x) |
(neg.f64 eps) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) |
(pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (+.f64 eps x)) #s(literal 5 binary64)) |
#s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) |
#s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (+.f64 eps x)) |
(*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) |
(+.f64 eps x) |
(+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 eps x)) |
(/.f64 (neg.f64 eps) x) |
(neg.f64 eps) |
eps |
x |
#s(literal -1 binary64) |
(neg.f64 x) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 eps (*.f64 x x)))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 eps (*.f64 x x))))) |
(*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 eps (*.f64 x x)))) |
(*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) |
(*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 eps (*.f64 x x))) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) |
#s(approx (* (* x x) (+ eps x)) (*.f64 eps (*.f64 x x))) |
(*.f64 (*.f64 x x) eps) |
(*.f64 eps (*.f64 x x)) |
(*.f64 x x) |
x |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- 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) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
eps |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- 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 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) x x) (*.f64 #s(literal -10 binary64) x))) eps)) eps)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) x x) (*.f64 #s(literal -10 binary64) x))) eps)) eps))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) x x) (*.f64 #s(literal -10 binary64) x))) eps)) eps)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) |
(/.f64 (fma.f64 #s(literal -5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) x x) (*.f64 #s(literal -10 binary64) x))) eps)) (neg.f64 eps)) |
(fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) x x) (*.f64 #s(literal -10 binary64) x))) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps)) |
(/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) x x) (*.f64 #s(literal -10 binary64) x))) (neg.f64 eps)) |
#s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) |
#s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) x x) (*.f64 #s(literal -10 binary64) x))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 x eps) x x) (*.f64 #s(literal -10 binary64) x)) |
(fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) |
(/.f64 x eps) |
eps |
#s(literal -10 binary64) |
(*.f64 x x) |
(neg.f64 eps) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.031504021680052 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x)) | |
| accuracy | 10.243018406054585 | (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps)) | |
| accuracy | 10.34851156213395 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 17.097873420423017 | (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.0390625 | (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) | |
| accuracy | 0.06707001953688403 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) | |
| accuracy | 11.608879322937803 | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) | |
| accuracy | 0.08660126953688403 | (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) | |
| accuracy | 11.608879322937803 | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) | |
| accuracy | 0.1392338132413075 | (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) | |
| accuracy | 10.34851156213395 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) | |
| accuracy | 11.23511145236416 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps))) | |
| accuracy | 20.0789189952553 | #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) | |
| accuracy | 0 | #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) | |
| accuracy | 0.043932580462863836 | (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) | |
| accuracy | 9.128979215059099 | (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 81.0ms | 195× | 0 | valid |
| 51.0ms | 49× | 1 | valid |
| 19.0ms | 11× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 443 to 59 computations (86.7% saved)
ival-mult: 34.0ms (27.8% of total)ival-pow: 27.0ms (22.1% of total)ival-add: 20.0ms (16.4% of total)adjust: 17.0ms (13.9% of total)ival-div: 13.0ms (10.6% of total)ival-sub: 6.0ms (4.9% of total)ival-neg: 4.0ms (3.3% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (patch (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (patch (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps))) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)) (patch (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (patch (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) (patch #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps) (patch (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (patch #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (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 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (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 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (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 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) (patch (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (patch #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps)) (patch (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 eps) (#s(alt (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 eps) (#s(alt (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (patch (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ eps x)) 1) (taylor 0 eps) (#s(alt (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (patch (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ eps x)) 1) (taylor 0 eps) (#s(alt (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (patch (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ eps x)) 1) (taylor 0 eps) (#s(alt (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (patch (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | inf | ((* (+ (/ (neg eps) x) -1) (neg x)) (+ (/ (neg eps) x) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (* (* (* (neg x) x) (neg x)) x) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (* (* (* (neg x) x) (neg x)) x)) eps) (* 5 (* (* (* (neg x) x) (neg x)) x)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* (* (neg x) x) (neg x)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (* (+ (* (/ x eps) -10) -10) (* x x))) |
| 4.0ms | x | @ | -inf | ((* (+ (/ (neg eps) x) -1) (neg x)) (+ (/ (neg eps) x) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (* (* (* (neg x) x) (neg x)) x) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (* (* (* (neg x) x) (neg x)) x)) eps) (* 5 (* (* (* (neg x) x) (neg x)) x)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* (* (neg x) x) (neg x)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (* (+ (* (/ x eps) -10) -10) (* x x))) |
| 4.0ms | eps | @ | 0 | ((* (+ (/ (neg eps) x) -1) (neg x)) (+ (/ (neg eps) x) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (* (* (* (neg x) x) (neg x)) x) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (* (* (* (neg x) x) (neg x)) x)) eps) (* 5 (* (* (* (neg x) x) (neg x)) x)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* (* (neg x) x) (neg x)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (* (+ (* (/ x eps) -10) -10) (* x x))) |
| 3.0ms | eps | @ | -inf | ((* (+ (/ (neg eps) x) -1) (neg x)) (+ (/ (neg eps) x) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (* (* (* (neg x) x) (neg x)) x) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (* (* (* (neg x) x) (neg x)) x)) eps) (* 5 (* (* (* (neg x) x) (neg x)) x)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* (* (neg x) x) (neg x)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (* (+ (* (/ x eps) -10) -10) (* x x))) |
| 3.0ms | x | @ | 0 | ((* (+ (/ (neg eps) x) -1) (neg x)) (+ (/ (neg eps) x) -1) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* 10 (* (* x x) (+ eps x))) (* eps eps)) (* 10 (* (* x x) (+ eps x))) (* (* (* (neg x) x) (neg x)) x) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* 5 (* (* (* (neg x) x) (neg x)) x)) eps) (* 5 (* (* (* (neg x) x) (neg x)) x)) (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (* (* x x) (+ eps x)) (* (* (neg x) x) (neg x)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (* (+ (* (/ x eps) -10) -10) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 771 | 11770 |
| 1 | 2719 | 10991 |
| 0 | 8032 | 10428 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
-1 |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
(pow x 5) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) (pow x 5)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* 10 (pow x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 3)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 3)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))) (pow eps 3)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 3)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 3)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 3)) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(pow x 3) |
(+ (* eps (pow x 2)) (pow x 3)) |
(+ (* eps (pow x 2)) (pow x 3)) |
(+ (* eps (pow x 2)) (pow x 3)) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(* -10 (/ (pow x 3) 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) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (/ eps x)) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -1 (/ (pow x 2) (pow eps 2))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -1 (/ (pow x 2) (pow eps 2))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (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)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 (* 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 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -1 (/ (pow x 2) (pow eps 2))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -1 (/ (pow x 2) (pow eps 2))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3)))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* 5 (/ x eps)) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))) eps) |
(/ (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))) eps) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (pow x 2)) |
(* eps (+ (/ (pow x 3) eps) (pow x 2))) |
(* eps (+ (/ (pow x 3) eps) (pow x 2))) |
(* eps (+ (/ (pow x 3) eps) (pow x 2))) |
(* 10 (/ (pow x 2) eps)) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(* -10 (pow x 2)) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (/ eps x)) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(* -1 (* eps (+ (/ 1 eps) (/ 1 x)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (- (+ x (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (pow x 2) eps)) (* 4 x)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps))))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* (+ x (* 4 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (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 (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (pow x 2) eps)) (* 4 x)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps))))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* (+ x (* 4 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) eps))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* 10 (* 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 (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (pow x 2) eps)) (* 4 x)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps))))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* (+ x (* 4 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (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 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (- (+ x (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (pow x 2) eps)) (* 4 x)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps))))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* (+ x (* 4 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (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))) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* 5 (/ x eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps)) |
(* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps)) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* eps (pow x 2)) |
(* -1 (* eps (+ (* -1 (/ (pow x 3) eps)) (* -1 (pow x 2))))) |
(* -1 (* eps (+ (* -1 (/ (pow x 3) eps)) (* -1 (pow x 2))))) |
(* -1 (* eps (+ (* -1 (/ (pow x 3) eps)) (* -1 (pow x 2))))) |
(* 10 (/ (pow x 2) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -10 (pow x 2)) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(* -1 (/ eps x)) |
(/ (+ (* -1 eps) (* -1 x)) x) |
(/ (+ (* -1 eps) (* -1 x)) x) |
(/ (+ (* -1 eps) (* -1 x)) x) |
(pow eps 5) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (+ (* -1 (* x (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5)))))) (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))))) (pow eps 5)) |
(+ (* x (+ (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))) (* x (+ (* -1 (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (* x (+ (* -1 (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 5)) (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (pow eps 5))))))))) (pow eps 5)) |
(pow eps 5) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (+ (* -1 (* x (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5)))))) (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))))) (pow eps 5)) |
(+ (* x (+ (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))) (* x (+ (* -1 (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (* x (+ (* -1 (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 5)) (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (pow eps 5))))))))) (pow eps 5)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* 10 (* 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 x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow eps 5) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (+ (* -1 (* x (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5)))))) (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))))) (pow eps 5)) |
(+ (* x (+ (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))) (* x (+ (* -1 (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (* x (+ (* -1 (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 5)) (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (pow eps 5))))))))) (pow eps 5)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow eps 5) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (+ (* -1 (* x (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5)))))) (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))))) (pow eps 5)) |
(+ (* x (+ (* -1 (+ (* -4 (pow eps 4)) (* -1 (pow eps 4)))) (* x (+ (* -1 (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (* x (+ (* -1 (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 5)) (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (/ (pow (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) 2) (pow eps 5))))) (pow eps 5))))))))) (pow eps 5)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(+ 1 (* x (+ (* x (+ (* 10 (/ x (pow eps 3))) (* 10 (/ 1 (pow eps 2))))) (* 5 (/ 1 eps))))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 5 (/ x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* x (+ (* 10 (/ x (pow eps 3))) (* 10 (/ 1 (pow eps 2))))) (* 5 (/ 1 eps)))) |
(* x (+ (* x (+ (* 10 (/ x (pow eps 3))) (* 10 (/ 1 (pow eps 2))))) (* 5 (/ 1 eps)))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(* eps (pow x 2)) |
(* (pow x 2) (+ eps x)) |
(* (pow x 2) (+ eps x)) |
(* (pow x 2) (+ eps x)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* -10 (pow x 2)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
-1 |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2))))))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow eps 4)) (* 8 (pow eps 4)))) (+ (* -4 (pow eps 4)) (+ (* -1 (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* -1 (pow eps 4)) (+ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))))))) (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))))))) (pow x 3))) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2)))))))))) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (+ (* 4 (/ eps x)) (/ eps x))))) |
(* (pow x 5) (+ 1 (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (/ eps x) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 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)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2))))))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow eps 4)) (* 8 (pow eps 4)))) (+ (* -4 (pow eps 4)) (+ (* -1 (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* -1 (pow eps 4)) (+ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))))))) (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))))))) (pow x 3))) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2)))))))))) |
(* 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) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2))))))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow eps 4)) (* 8 (pow eps 4)))) (+ (* -4 (pow eps 4)) (+ (* -1 (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* -1 (pow eps 4)) (+ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))))))) (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))))))) (pow x 3))) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2)))))))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(* (pow x 3) (+ (* 10 (/ 1 (* (pow eps 2) x))) (* 10 (/ 1 (pow eps 3))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 5 (* eps (pow x 2))) (/ 10 (* (pow eps 2) x))))) |
(* (pow x 3) (+ (* 5 (/ 1 (* eps (pow x 2)))) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 1 (pow x 3)) (/ 10 (* (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(* (pow x 3) (+ (* 10 (/ 1 (* (pow eps 2) x))) (* 10 (/ 1 (pow eps 3))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 5 (* eps (pow x 2))) (/ 10 (* (pow eps 2) x))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 5 (* eps (pow x 2))) (/ 10 (* (pow eps 2) x))))) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ eps x))) |
(* (pow x 3) (+ 1 (/ eps x))) |
(* (pow x 3) (+ 1 (/ eps x))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* -10 (/ (pow x 3) eps)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
-1 |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(- (* -1 (/ eps x)) 1) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (- (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 2 (/ (pow eps 4) x)) (+ (* 4 (pow eps 3)) (+ (* 8 (/ (pow eps 4) x)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))))) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)) (+ (* 4 (/ (pow eps 4) x)) (+ (/ (* (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) x) (/ (pow eps 4) x)))))) x))) x)) (* 4 eps)))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x))))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps))) x)) 1))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 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))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (- (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 2 (/ (pow eps 4) x)) (+ (* 4 (pow eps 3)) (+ (* 8 (/ (pow eps 4) x)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))))) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)) (+ (* 4 (/ (pow eps 4) x)) (+ (/ (* (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) x) (/ (pow eps 4) x)))))) 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) (+ eps (* 4 eps))) |
(* (pow x 4) (- (+ eps (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (/ (pow eps 2) x)) (* 4 eps)))) (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))) x))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -1 (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (/ (- (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 2 (/ (pow eps 4) x)) (+ (* 4 (pow eps 3)) (+ (* 8 (/ (pow eps 4) x)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))))))) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)) (+ (* 4 (/ (pow eps 4) x)) (+ (/ (* (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) (- (+ (* -4 (pow eps 2)) (* -1 (pow eps 2))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) x) (/ (pow eps 4) x)))))) x))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(* eps (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (* 10 (/ 1 (* (pow eps 2) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(* (pow x 3) (+ (* 10 (/ 1 (* (pow eps 2) x))) (* 10 (/ 1 (pow eps 3))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ eps x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ eps x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ eps x)) 1))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* -10 (/ (pow x 3) eps)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
| Outputs |
|---|
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ eps x)) 1) |
(fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ eps x)) 1) |
(fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ eps x)) 1) |
(fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(*.f64 (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))))) eps (neg.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -5 binary64) x (fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))))))) (fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))) eps (neg.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.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 (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) (pow x 5)) |
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(* 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)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
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(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
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(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5))))))) (+ (* 4 (pow x 4)) (pow x 4)))) |
(*.f64 (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -6 binary64)) x (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* -1 (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (* eps (+ (* -1 (* eps (- (* -1 (/ (+ (* 4 (pow x 6)) (* (pow x 2) (+ (* 2 (pow x 4)) (* 4 (pow x 4))))) (pow x 5))) (+ (* -4 x) (+ (* -1 x) (+ (* -1 (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (/ (* (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (+ (* -1 (/ (* (+ (* 4 (pow x 4)) (pow x 4)) (- (* -1 (/ (+ (* -4 (pow x 8)) (* -1 (pow x 8))) (pow x 5))) (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (/ (pow (+ (* 4 (pow x 4)) (pow x 4)) 2) (pow x 5)))))) (pow x 5))) (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (/ (* (+ (* -4 (pow x 3)) (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))))))))) (pow x 4)))) |
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x |
(+ eps x) |
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(pow x 3) |
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(* (pow eps 5) (- (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (* (+ (* -4 x) (* -1 x)) (- (+ (* -4 (pow x 2)) (* -1 (pow x 2))) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))))) (pow eps 3))) (* -1 (/ (pow x 2) (pow eps 2)))))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (* 8 (/ (pow x 2) (pow eps 2))))))))) |
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(pow eps 5) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (pow x 4)) |
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(pow.f64 x #s(literal 4 binary64)) |
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(pow eps 5) |
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(+ eps x) |
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x |
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(pow x 5) |
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(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
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(* (pow x 5) (+ 1 (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (/ eps x) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 3)))))))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(pow x 4) |
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(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (pow x 2))) (+ (* -1 (/ (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) x)) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow eps 4)) (* 8 (pow eps 4)))) (+ (* -4 (pow eps 4)) (+ (* -1 (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* -1 (pow eps 4)) (+ (* (+ eps (* 4 eps)) (+ (* -1 (* (+ eps (* 4 eps)) (- (* -1 (+ (* -4 (pow eps 2)) (* -1 (pow eps 2)))) (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))))) (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))))))) (* (+ eps (* 4 eps)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))))))) (pow x 3))) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow x 2)))))))))) |
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(* eps (pow x 4)) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 561 |
| 0 | 109 | 574 |
| 1 | 437 | 445 |
| 2 | 3349 | 443 |
| 0 | 10146 | 443 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x)) |
(+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)) |
(*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (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 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) |
#s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) |
#s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps)) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x)) |
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Compiled 22 430 to 2 631 computations (88.3% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 874 | 8 | 882 |
| Fresh | 1 | 19 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 879 | 31 | 910 |
| Status | Accuracy | Program |
|---|---|---|
| 12.3% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) | |
| ✓ | 85.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 85.6% | (-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| 27.1% | (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) | |
| 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) | |
| ✓ | 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
| 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) | |
| 81.7% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) | |
| 81.7% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| 81.8% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) | |
| 67.5% | #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) | |
| ✓ | 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| 82.6% | #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)) | |
| 32.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| ✓ | 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 67.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 (/.f64 #s(literal -1 binary64) eps) #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) x) x)))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 81.7% | #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))) | |
| 82.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps)))) | |
| 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) | |
| 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) | |
| 67.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) | |
| 67.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) | |
| 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) | |
| 67.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) | |
| 82.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 1 417 to 669 computations (52.8% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 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 (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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 (/.f64 #s(literal -1 binary64) eps) #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) x) x)))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (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))) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))) eps) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
#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 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
3 calls:
| 15.0ms | eps |
| 13.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 98.1% | 3 | eps |
| 99.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 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 (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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 (/.f64 #s(literal -1 binary64) eps) #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) x) x)))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (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))) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 #s(approx (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(-.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 |
|---|---|---|
| 99.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 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 (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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 (/.f64 #s(literal -1 binary64) eps) #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) x) x)))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) (*.f64 x x))) (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 #s(literal -1 binary64) eps) #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) x) x)))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
3 calls:
| 14.0ms | x |
| 11.0ms | eps |
| 11.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 3 | eps |
| 97.7% | 3 | x |
| 97.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 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 (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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 12.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 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 (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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps 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)))) |
| Outputs |
|---|
#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)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) |
2 calls:
| 18.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
| 97.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (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))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps 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))) |
2 calls:
| 11.0ms | x |
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 97.6% | 3 | x |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 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 (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- 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 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps 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))) |
1 calls:
| 135.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 97.2% | 3 | x |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 eps x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 x eps) x) x)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 x eps) (*.f64 eps eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x eps) x))) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
3 calls:
| 4.0ms | x |
| 4.0ms | eps |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 1 | eps |
| 81.8% | 1 | x |
| 81.8% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
3 calls:
| 154.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 1 | x |
| 81.7% | 1 | eps |
| 81.7% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) (*.f64 #s(literal 10 binary64) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) #s(literal 10 binary64)))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 1 | x |
| 67.5% | 1 | eps |
| 67.5% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.02e-321 |
| 0.0ms | -2.1418440109293882e-301 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.02e-321 |
| 0.0ms | -2.1418440109293882e-301 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.02e-321 |
| 0.0ms | -2.1418440109293882e-301 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.02e-321 |
| 0.0ms | -2.1418440109293882e-301 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 4.4910329725336914e-33 | 5.979653988528544e-25 |
| 56.0ms | -1.466525091261804e-58 | -1.9758135697353292e-59 |
| 69.0ms | 198× | 1 | valid |
| 3.0ms | 42× | 0 | valid |
Compiled 495 to 417 computations (15.8% saved)
ival-pow: 51.0ms (79.5% of total)adjust: 8.0ms (12.5% of total)ival-add: 3.0ms (4.7% of total)ival-sub: 2.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.4910329725336914e-33 | 5.979653988528544e-25 |
| 1.0ms | -1.466525091261804e-58 | -1.9758135697353292e-59 |
Compiled 477 to 417 computations (12.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.4910329725336914e-33 | 5.979653988528544e-25 |
| 1.0ms | -1.466525091261804e-58 | -1.9758135697353292e-59 |
Compiled 534 to 423 computations (20.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.4910329725336914e-33 | 5.979653988528544e-25 |
| 1.0ms | -1.466525091261804e-58 | -1.9758135697353292e-59 |
Compiled 534 to 423 computations (20.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.4910329725336914e-33 | 5.979653988528544e-25 |
| 1.0ms | -1.466525091261804e-58 | -1.9758135697353292e-59 |
Compiled 564 to 423 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.4910329725336914e-33 | 5.979653988528544e-25 |
| 1.0ms | -1.466525091261804e-58 | -1.9758135697353292e-59 |
Compiled 582 to 417 computations (28.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.02e-321 |
| 0.0ms | -2.1418440109293882e-301 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.02e-321 |
| 0.0ms | -2.1418440109293882e-301 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 1656 |
| 1 | 249 | 1656 |
| 2 | 262 | 1656 |
| 3 | 279 | 1656 |
| 4 | 293 | 1656 |
| 5 | 301 | 1656 |
| 6 | 305 | 1656 |
| 7 | 306 | 1656 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (-.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 -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 (/.f64 #s(literal -1 binary64) eps) #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) x) x)))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 x #s(literal -8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 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)))) (if (<=.f64 x #s(literal 6576757367989063/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))))) |
(if (<=.f64 x #s(literal -8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 6576757367989063/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))))) |
(if (<=.f64 x #s(literal -8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) (if (<=.f64 x #s(literal 6576757367989063/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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))))) |
(if (<=.f64 x #s(literal -8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) (if (<=.f64 x #s(literal 6576757367989063/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) #s(approx (- (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))))) |
(if (<=.f64 x #s(literal -8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))))) (if (<=.f64 x #s(literal 6576757367989063/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps 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))))) |
(if (<=.f64 x #s(literal -8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #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))) (if (<=.f64 x #s(literal 6576757367989063/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps 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))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.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 -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) 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 -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #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)))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #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)))) (+.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 -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (-.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 -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) (-.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 -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 (/.f64 #s(literal -1 binary64) eps) #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) x) x)))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) |
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) (*.f64 x x))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) |
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4825645764048353/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* (* 2 (/ x eps)) (/ x eps)) 1) (+ (* (* 8 (/ x eps)) (/ x eps)) (* (/ x eps) 5))) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (/ (- (neg (* x x)) (* (neg eps) eps)) (neg (- x eps))) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(literal 10 binary64) #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* x x) (+ eps x)) (*.f64 (*.f64 x x) eps)) #s(literal 10 binary64)) (*.f64 eps eps)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 770 | 10979 |
| 1 | 2737 | 10180 |
| 0 | 8119 | 9597 |
| 0 | 85 | 598 |
| 0 | 120 | 594 |
| 1 | 543 | 510 |
| 2 | 5258 | 510 |
| 0 | 8465 | 489 |
| 0 | 770 | 9232 |
| 1 | 2712 | 8484 |
| 0 | 8095 | 8012 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 0 | 75 | 561 |
| 0 | 109 | 574 |
| 1 | 437 | 445 |
| 2 | 3349 | 443 |
| 0 | 10146 | 443 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2855 | 1056 |
| 0 | 8390 | 988 |
| 0 | 54 | 356 |
| 0 | 95 | 352 |
| 1 | 377 | 298 |
| 2 | 3322 | 298 |
| 0 | 8889 | 287 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 285 to 551 computations (57.1% saved)
Compiled 1 696 to 294 computations (82.7% saved)
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