
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)
| 1.5s | 7 223× | 0 | valid |
| 228.0ms | 1 031× | 1 | valid |
| 0.0ms | 2× | 2 | valid |
ival-pow: 886.0ms (61.2% of total)ival-<=: 249.0ms (17.2% of total)ival-sub: 129.0ms (8.9% of total)ival-add: 77.0ms (5.3% of total)adjust: 59.0ms (4.1% of total)ival-and: 22.0ms (1.5% of total)exact: 22.0ms (1.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | cancellation | 30 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 0 |
| - | 0 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 0 |
| - | 0 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 454× | 0 | valid |
| 23.0ms | 58× | 1 | valid |
Compiled 82 to 32 computations (61% saved)
ival-sub: 18.0ms (43.2% of total)ival-pow: 18.0ms (43.2% of total)ival-add: 3.0ms (7.2% of total)adjust: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 39 | 49 |
| 2 | 87 | 47 |
| 3 | 163 | 47 |
| 4 | 290 | 47 |
| 5 | 425 | 47 |
| 6 | 514 | 47 |
| 7 | 558 | 47 |
| 8 | 603 | 47 |
| 9 | 618 | 47 |
| 10 | 626 | 47 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 14 | 9 |
| 2 | 19 | 9 |
| 3 | 25 | 9 |
| 4 | 33 | 9 |
| 5 | 48 | 9 |
| 6 | 81 | 9 |
| 7 | 106 | 9 |
| 8 | 149 | 9 |
| 9 | 164 | 9 |
| 10 | 172 | 9 |
| 0 | 172 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 5 binary64)) | |
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 0 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
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 | 0.04201127930532605 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 6.518802638750199 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 21.0ms | 227× | 0 | valid |
| 7.0ms | 29× | 1 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-pow: 9.0ms (53.3% of total)ival-add: 5.0ms (29.6% of total)adjust: 1.0ms (5.9% 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 | |
|---|---|---|---|---|
| 4.0ms | 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)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 14 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 346 | 15 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| 10.4% | (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)))) | |
| 41.7% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 89.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 87.5% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
| 79.7% | (-.f64 #s(approx (pow (+ x eps) 5) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) | |
| 18.4% | (*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) | |
| ▶ | 88.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 88.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (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)) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 83.7% | #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)))) |
| ▶ | 71.6% | #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)))) |
| 76.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
Compiled 445 to 339 computations (23.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) | |
| cost-diff | 6272 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) | |
| cost-diff | 0 | (+.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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) | |
| cost-diff | 640 | (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 192 | (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (/.f64 x eps) | |
| cost-diff | 0 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 371 |
| 0 | 72 | 371 |
| 1 | 121 | 356 |
| 2 | 249 | 344 |
| 3 | 596 | 332 |
| 4 | 1795 | 327 |
| 5 | 4129 | 327 |
| 6 | 6779 | 327 |
| 0 | 8058 | 308 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 #s(literal 4 binary64) eps) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(*.f64 x x) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 4 binary64)) eps) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 #s(literal 4 binary64) eps) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.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) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 5 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) |
(*.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64))) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 10 binary64)) eps) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal -10 binary64)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.213672064049964 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 9.493448074769024 | (/.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 | 9.65731567137554 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) | |
| accuracy | 16.90647044761261 | (*.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 | (*.f64 x x) | |
| accuracy | 0.04201127930532605 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) | |
| accuracy | 6.518802638750199 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) | |
| accuracy | 0.13347626953688402 | (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) | |
| accuracy | 0.3934368463757693 | (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 10.361990317618273 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 11.758770384810424 | (/.f64 (*.f64 eps eps) x) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 7.66184612895976 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.15234375 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.48481149846840593 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 7.417264564630446 | #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)))) |
| 98.0ms | 215× | 0 | valid |
| 65.0ms | 41× | 1 | valid |
Compiled 663 to 80 computations (87.9% saved)
ival-div: 42.0ms (30.1% of total)ival-pow: 37.0ms (26.5% of total)ival-mult: 32.0ms (22.9% of total)ival-add: 20.0ms (14.3% of total)adjust: 3.0ms (2.1% of total)ival-sub: 3.0ms (2.1% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (patch (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (patch (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) #<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 (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) (patch (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (patch (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (/ x eps)) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (patch (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 4 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (patch (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 4 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (patch (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 4 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (patch (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (patch (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (patch (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (patch (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (* 10 (/ (pow x 3) (pow eps 3))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (* 10 (/ 1 (* (pow eps 2) x))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3)))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))) x)) (* 10 (/ 1 (pow eps 3)))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (/ (* eps eps) x) (* x x) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 5.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (/ (* eps eps) x) (* x x) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 5.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (/ (* eps eps) x) (* x x) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 5.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (/ (* eps eps) x) (* x x) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 4.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (/ (* eps eps) x) (* x x) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 516 | 7498 |
| 1 | 1713 | 6959 |
| 2 | 5923 | 6090 |
| 0 | 8152 | 5761 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (/ x eps)) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* 4 eps) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 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))))) |
(* 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) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 2)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 2)) |
(* -10 (/ (pow x 3) eps)) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 3)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 3)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))) (pow eps 3)) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(pow eps 5) |
(* (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))) |
(* 10 (/ (pow x 2) eps)) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))) |
(+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))) |
(* -10 (pow x 2)) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3)))))) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -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))) |
(* 10 (/ (pow x 2) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) |
(+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) |
(* -10 (pow x 2)) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps))) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(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) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* x (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))))) |
(* x (+ 5 (* x (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))))) |
(* -10 (pow x 2)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(+ 1 (* x (+ (* x (+ (* 10 (/ x (pow eps 3))) (* 10 (/ 1 (pow eps 2))))) (* 5 (/ 1 eps))))) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 4 eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(pow x 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))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x))))) |
(* -10 (/ (pow x 3) eps)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(* (pow x 3) (+ (* 10 (/ 1 (* (pow eps 2) x))) (* 10 (/ 1 (pow eps 3))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 5 (* eps (pow x 2))) (/ 10 (* (pow eps 2) x))))) |
(* (pow x 3) (+ (* 5 (/ 1 (* eps (pow x 2)))) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 1 (pow x 3)) (/ 10 (* (pow eps 2) x)))))) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 4 eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(pow x 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))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(* -10 (/ (pow x 3) eps)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (* 10 (/ 1 (* (pow eps 2) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
| Outputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 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)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 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)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* 4 eps) |
(*.f64 #s(literal 4 binary64) eps) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
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(*.f64 (+.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 8 binary64) (+.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(* (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 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) 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)))))))) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 8 binary64) (+.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* 4 eps) |
(*.f64 #s(literal 4 binary64) eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(+ eps (* 4 eps)) |
(*.f64 #s(literal 5 binary64) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (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 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) 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)))))))) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 8 binary64) (+.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 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 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) 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)))))))) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 8 binary64) (+.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x) x))))) (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 eps (/.f64 eps x)) x) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 eps (/.f64 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 eps (/.f64 eps x)) x) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (/.f64 eps x)) (fma.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 eps (/.f64 eps x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 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) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 10 binary64) eps) x)) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 10 binary64) eps) x)) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 10 (/ 1 (* (pow eps 2) x))) (* 10 (/ 1 (pow eps 3))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 5 (* eps (pow x 2))) (/ 10 (* (pow eps 2) x))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 5 binary64) (*.f64 x x)) eps) (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 5 (/ 1 (* eps (pow x 2)))) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 1 (pow x 3)) (/ 10 (* (pow eps 2) x)))))) |
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) x)) (/.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 5 binary64) (*.f64 x x)) eps)) (pow.f64 x #s(literal 3 binary64))) |
(/ (pow eps 2) x) |
(*.f64 eps (/.f64 eps x)) |
(/ (pow eps 2) x) |
(*.f64 eps (/.f64 eps x)) |
(/ (pow eps 2) x) |
(*.f64 eps (/.f64 eps x)) |
(/ (pow eps 2) x) |
(*.f64 eps (/.f64 eps x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(*.f64 (fma.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64) (*.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (/.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (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)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (/.f64 #s(literal 5 binary64) x) (fma.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (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 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 8 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x) 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 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 8 binary64) (+.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(* (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 (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* 4 eps) |
(*.f64 #s(literal 4 binary64) eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(+ eps (* 4 eps)) |
(*.f64 #s(literal 5 binary64) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (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 (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 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 (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) 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 #s(literal -5 binary64) (/.f64 eps 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))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) x))) |
(* -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 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 eps x))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 eps x))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 eps x))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps x))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (* 10 (/ 1 (* (pow eps 2) x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 5 binary64) x) eps) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) x) (/.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 5 binary64) x) eps) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) x) (/.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (pow eps 2) x) |
(*.f64 eps (/.f64 eps x)) |
(/ (pow eps 2) x) |
(*.f64 eps (/.f64 eps x)) |
(/ (pow eps 2) x) |
(*.f64 eps (/.f64 eps x)) |
(/ (pow eps 2) x) |
(*.f64 eps (/.f64 eps x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) #s(literal 10 binary64)) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) x)) (pow.f64 x #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 298 |
| 0 | 72 | 298 |
| 1 | 278 | 280 |
| 2 | 2184 | 280 |
| 0 | 8343 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 x x) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
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Compiled 24 312 to 2 958 computations (87.8% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 022 | 13 | 1 035 |
| Fresh | 6 | 3 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 032 | 18 | 1 050 |
| Status | Accuracy | Program |
|---|---|---|
| 10.4% | (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)))) | |
| 82.7% | (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| ▶ | 82.7% | (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
| 41.7% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 89.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) | |
| ✓ | 88.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (+.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) | |
| ▶ | 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
| ▶ | 73.3% | #s(approx (- (pow (+ x eps) 5) (pow 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 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
| 88.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))) |
Compiled 525 to 382 computations (27.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| cost-diff | 6336 | (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 320 | (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) | |
| cost-diff | 320 | (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) | |
| cost-diff | 0 | (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) | |
| cost-diff | 0 | (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x) | |
| 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 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x)) | |
| 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 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 576 |
| 0 | 103 | 576 |
| 1 | 205 | 564 |
| 2 | 503 | 554 |
| 3 | 1336 | 554 |
| 4 | 2545 | 546 |
| 5 | 5722 | 546 |
| 0 | 8136 | 534 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(+.f64 x eps) |
eps |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x 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 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 10 binary64) |
(+.f64 x eps) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) |
eps |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
#s(literal 5 binary64) |
x |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(+.f64 eps x) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) |
x |
(fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) |
#s(literal 5 binary64) |
eps |
(*.f64 #s(literal 10 binary64) x) |
#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) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64)))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) |
(fma.f64 (*.f64 eps (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps))) x (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(+.f64 x eps) |
(+.f64 eps x) |
eps |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) x) x) #s(literal 10 binary64)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x 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 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) x) x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) (*.f64 eps #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 10 binary64) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) |
eps |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
#s(literal 5 binary64) |
x |
(*.f64 #s(literal 10 binary64) eps) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) |
(neg.f64 (pow.f64 x #s(literal 4 binary64))) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(+.f64 eps x) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (fma.f64 eps (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(*.f64 (*.f64 x (fma.f64 eps (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)))) eps) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 x (fma.f64 eps (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x) |
(*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) x) |
x |
(fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) |
(fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) |
#s(literal 5 binary64) |
eps |
(*.f64 #s(literal 10 binary64) x) |
(*.f64 x #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09832001953688403 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.14151882300974952 | (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.18359375 | (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) | |
| accuracy | 10.18149288179486 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| accuracy | 0 | (neg.f64 (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.04201127930532605 | (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) | |
| accuracy | 0.08203125 | (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) | |
| accuracy | 11.019546202856311 | (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| accuracy | 0.05859375 | (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) | |
| accuracy | 0.05859375 | (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.16015625 | (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) | |
| accuracy | 10.361990317618273 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.110343466849389 | (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) | |
| accuracy | 0.18640887416728733 | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) | |
| accuracy | 7.213672064049964 | #s(approx (- (pow (+ x eps) 5) (pow 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 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) | |
| accuracy | 10.26716471190005 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x)) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) | |
| accuracy | 0.1171875 | (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) | |
| accuracy | 0.14254630115753777 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 7.213672064049964 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
| 202.0ms | 42× | 1 | valid |
| 96.0ms | 213× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 855 to 108 computations (87.4% saved)
ival-div: 169.0ms (62.5% of total)ival-mult: 48.0ms (17.8% of total)ival-pow: 25.0ms (9.2% of total)ival-add: 19.0ms (7% of total)adjust: 5.0ms (1.8% of total)ival-sub: 2.0ms (0.7% of total)ival-neg: 2.0ms (0.7% 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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) (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 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) #<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 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (patch (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (patch (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) (patch (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 x #s(literal 3 binary64))) (patch (neg.f64 (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) (patch (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) (patch (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) #<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>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* (* eps eps) 10) (+ x eps)) x) x) (* (* (* (* eps eps) 10) (+ x eps)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps (+ (* 5 x) (* 10 eps))) (pow x 3)) (* eps (+ (* 5 x) (* 10 eps))) (+ (* 5 x) (* 10 eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) (* (neg (pow x 3)) x) (neg (pow x 3)) (pow x 3) (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) eps) (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* eps eps) 10) (* (* (* eps eps) 10) (+ x eps)) (pow (+ eps x) 5) (* x (+ (* 5 eps) (* 10 x))) (* 10 (pow x 3)) (* 5 (pow x 4))) |
| 9.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* (* eps eps) 10) (+ x eps)) x) x) (* (* (* (* eps eps) 10) (+ x eps)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps (+ (* 5 x) (* 10 eps))) (pow x 3)) (* eps (+ (* 5 x) (* 10 eps))) (+ (* 5 x) (* 10 eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) (* (neg (pow x 3)) x) (neg (pow x 3)) (pow x 3) (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) eps) (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* eps eps) 10) (* (* (* eps eps) 10) (+ x eps)) (pow (+ eps x) 5) (* x (+ (* 5 eps) (* 10 x))) (* 10 (pow x 3)) (* 5 (pow x 4))) |
| 7.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* (* eps eps) 10) (+ x eps)) x) x) (* (* (* (* eps eps) 10) (+ x eps)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps (+ (* 5 x) (* 10 eps))) (pow x 3)) (* eps (+ (* 5 x) (* 10 eps))) (+ (* 5 x) (* 10 eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) (* (neg (pow x 3)) x) (neg (pow x 3)) (pow x 3) (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) eps) (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* eps eps) 10) (* (* (* eps eps) 10) (+ x eps)) (pow (+ eps x) 5) (* x (+ (* 5 eps) (* 10 x))) (* 10 (pow x 3)) (* 5 (pow x 4))) |
| 6.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* (* eps eps) 10) (+ x eps)) x) x) (* (* (* (* eps eps) 10) (+ x eps)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps (+ (* 5 x) (* 10 eps))) (pow x 3)) (* eps (+ (* 5 x) (* 10 eps))) (+ (* 5 x) (* 10 eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) (* (neg (pow x 3)) x) (neg (pow x 3)) (pow x 3) (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) eps) (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* eps eps) 10) (* (* (* eps eps) 10) (+ x eps)) (pow (+ eps x) 5) (* x (+ (* 5 eps) (* 10 x))) (* 10 (pow x 3)) (* 5 (pow x 4))) |
| 5.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* (* eps eps) 10) (+ x eps)) x) x) (* (* (* (* eps eps) 10) (+ x eps)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps (+ (* 5 x) (* 10 eps))) (pow x 3)) (* eps (+ (* 5 x) (* 10 eps))) (+ (* 5 x) (* 10 eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) (* (neg (pow x 3)) x) (neg (pow x 3)) (pow x 3) (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) eps) (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* eps eps) 10) (* (* (* eps eps) 10) (+ x eps)) (pow (+ eps x) 5) (* x (+ (* 5 eps) (* 10 x))) (* 10 (pow x 3)) (* 5 (pow x 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 619 | 9236 |
| 1 | 2247 | 8612 |
| 0 | 8153 | 8035 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 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 eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 5 (* eps x)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* 5 x) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* -1 (pow x 5)) (pow x 5)) |
(+ (* -1 (pow x 5)) (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))) |
(+ (* -1 (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))) |
(+ (* -1 (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))) |
(* 10 (pow x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(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)) |
(* 10 (pow x 2)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 4) |
(* (pow eps 4) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(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 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* 10 eps) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 5 (* eps x)) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(pow eps 4) |
(* (pow eps 4) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(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 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* 10 eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(pow eps 3) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps x)) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(pow eps 4) |
(+ (* 5 (* (pow eps 3) x)) (pow eps 4)) |
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4)) |
(+ (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) (pow eps 4)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(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 (* (pow eps 3) x)) |
(* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(* 10 eps) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 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)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(pow eps 3) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 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 (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (+ (* 10 (/ (pow eps 2) x)) (/ (pow eps 4) (pow x 3)))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 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 eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(pow 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))))))))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 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 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))) x))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 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 eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (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)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* 5 x) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 4)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 10 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 5 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* 10 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(pow x 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))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
| Outputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps)) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps eps)) x) x) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps eps)) x) x) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps)) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps eps)) x) x) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps eps)) x) x) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps eps)) x) x) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps eps)) x) x) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps eps)) x) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps eps)) x) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps 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 (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x) #s(literal -1 binary64) #s(literal -10 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x) #s(literal -1 binary64) #s(literal -10 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 eps x) eps) x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(*.f64 (-.f64 #s(literal 5 binary64) (/.f64 (fma.f64 #s(literal -10 binary64) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (neg.f64 x))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -5 binary64) eps) eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 x)))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -5 binary64) eps) eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 x)))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -5 binary64) eps) eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 x)))) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) x) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) x) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) x) |
(pow 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)) (neg.f64 (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 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (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 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 491 |
| 0 | 103 | 491 |
| 1 | 408 | 479 |
| 2 | 3084 | 477 |
| 0 | 8491 | 473 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x 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 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
| Outputs |
|---|
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Compiled 21 665 to 2 568 computations (88.1% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 959 | 20 | 979 |
| Fresh | 4 | 7 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 967 | 30 | 997 |
| Status | Accuracy | Program |
|---|---|---|
| 10.4% | (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)))) | |
| 82.7% | (fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| 41.7% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) | |
| ✓ | 88.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) | |
| ▶ | 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| 73.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) | |
| ▶ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
| 73.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) | |
| 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) | |
| ✓ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
| 73.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) eps))) | |
| 73.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) | |
| 73.3% | #s(approx (- (pow (+ x eps) 5) (pow 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 x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) | |
| ▶ | 73.3% | #s(approx (- (pow (+ x eps) 5) (pow 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 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
| ✓ | 73.3% | #s(approx (- (pow (+ x eps) 5) (pow 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 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
| 73.3% | #s(approx (- (pow (+ x eps) 5) (pow 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 (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) | |
| 73.4% | #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(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x))) | |
| 73.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) | |
| 73.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) | |
| 73.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) | |
| 73.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) | |
| 88.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))) | |
| ▶ | 73.0% | #s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) |
Compiled 910 to 661 computations (27.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x) | |
| 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 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x)) | |
| 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 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) | |
| cost-diff | 0 | #s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 458 |
| 0 | 83 | 454 |
| 1 | 155 | 444 |
| 2 | 364 | 433 |
| 3 | 1016 | 433 |
| 4 | 2664 | 425 |
| 5 | 5183 | 425 |
| 6 | 7714 | 425 |
| 0 | 8261 | 413 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(+.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
(*.f64 eps eps) |
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) |
#s(literal 0 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 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) |
(*.f64 (+.f64 eps x) (*.f64 eps eps)) |
(+.f64 eps x) |
eps |
x |
(*.f64 eps eps) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
#s(literal 5 binary64) |
x |
(*.f64 eps #s(literal 10 binary64)) |
eps |
#s(literal 10 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps))) |
(fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(fma.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (+.f64 x eps)) |
(+.f64 eps x) |
(+.f64 x eps) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
(*.f64 eps eps) |
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(literal 0 binary64)) |
#s(literal 0 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 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) eps) #s(literal 10 binary64)) (*.f64 x 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 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x)) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) eps) #s(literal 10 binary64)) (*.f64 x eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) eps) #s(literal 10 binary64)) (*.f64 x eps)) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) eps) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) #s(literal 10 binary64)) eps) |
(*.f64 (+.f64 eps x) (*.f64 eps eps)) |
(*.f64 (*.f64 (+.f64 x eps) eps) eps) |
(+.f64 eps x) |
(+.f64 x eps) |
eps |
x |
(*.f64 eps eps) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
#s(literal 5 binary64) |
x |
(*.f64 eps #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) eps) |
eps |
#s(literal 10 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.05859375 | (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) | |
| accuracy | 0.09832001953688403 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 10.469661841214885 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| accuracy | 0.05859375 | (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) | |
| accuracy | 0.16015625 | (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) | |
| accuracy | 10.361990317618273 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) | |
| accuracy | 0.12337875976844201 | (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) | |
| accuracy | 0.13396280141182762 | (*.f64 (+.f64 eps x) (*.f64 eps eps)) | |
| accuracy | 7.213672064049964 | #s(approx (- (pow (+ x eps) 5) (pow 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 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) | |
| accuracy | 10.26716471190005 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x)) | |
| accuracy | 17.26773275200597 | #s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) | |
| accuracy | 0.12326385848299634 | (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) | |
| accuracy | 0.1484375 | (*.f64 (+.f64 eps x) #s(literal 10 binary64)) | |
| accuracy | 0.15625 | (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) | |
| accuracy | 7.213672064049964 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
| 97.0ms | 214× | 0 | valid |
| 28.0ms | 41× | 1 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 606 to 89 computations (85.3% saved)
ival-mult: 36.0ms (39.1% of total)ival-pow: 28.0ms (30.4% of total)ival-add: 13.0ms (14.1% of total)ival-div: 6.0ms (6.5% of total)adjust: 4.0ms (4.3% of total)ival-sub: 2.0ms (2.2% of total)ival-neg: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) (patch (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (patch (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) (patch #s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) (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 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) #<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 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) (patch (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) (patch (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (patch (*.f64 (+.f64 eps x) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 eps x) (*.f64 eps eps)) (patch (*.f64 (+.f64 eps x) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (+.f64 eps x) (*.f64 eps eps)) (patch (*.f64 (+.f64 eps x) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 eps x) (*.f64 eps eps)) (patch (*.f64 (+.f64 eps x) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 eps x) (*.f64 eps eps)) (patch (*.f64 (+.f64 eps x) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 eps x) (*.f64 eps eps)) (patch (*.f64 (+.f64 eps x) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (* eps eps)) (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 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)) (* (* (* (* (+ eps x) (* eps eps)) 10) x) x) (* (* (* (+ eps x) (* eps eps)) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (* (+ (* 5 x) (* eps 10)) eps) (+ (* 5 x) (* eps 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ eps x) 10) (* (+ eps x) (* eps eps)) (* (* (+ eps x) (* eps eps)) 10)) |
| 3.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (* eps eps)) (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 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)) (* (* (* (* (+ eps x) (* eps eps)) 10) x) x) (* (* (* (+ eps x) (* eps eps)) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (* (+ (* 5 x) (* eps 10)) eps) (+ (* 5 x) (* eps 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ eps x) 10) (* (+ eps x) (* eps eps)) (* (* (+ eps x) (* eps eps)) 10)) |
| 3.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (* eps eps)) (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 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)) (* (* (* (* (+ eps x) (* eps eps)) 10) x) x) (* (* (* (+ eps x) (* eps eps)) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (* (+ (* 5 x) (* eps 10)) eps) (+ (* 5 x) (* eps 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ eps x) 10) (* (+ eps x) (* eps eps)) (* (* (+ eps x) (* eps eps)) 10)) |
| 3.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (* eps eps)) (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 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)) (* (* (* (* (+ eps x) (* eps eps)) 10) x) x) (* (* (* (+ eps x) (* eps eps)) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (* (+ (* 5 x) (* eps 10)) eps) (+ (* 5 x) (* eps 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ eps x) 10) (* (+ eps x) (* eps eps)) (* (* (+ eps x) (* eps eps)) 10)) |
| 3.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (* eps eps)) (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 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)) (* (* (* (* (+ eps x) (* eps eps)) 10) x) x) (* (* (* (+ eps x) (* eps eps)) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (* (+ (* 5 x) (* eps 10)) eps) (+ (* 5 x) (* eps 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ eps x) 10) (* (+ eps x) (* eps eps)) (* (* (+ eps x) (* eps eps)) 10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 7205 |
| 1 | 1610 | 6718 |
| 2 | 5777 | 6090 |
| 0 | 8239 | 5752 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (pow x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(+ (* -1 (pow x 5)) (pow x 5)) |
(+ (* -1 (pow x 5)) (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))) |
(+ (* -1 (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))) |
(+ (* -1 (pow x 5)) (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 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 eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 3))) |
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) |
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) |
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) |
(* 5 (* eps x)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* 5 x) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 10 x) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(* (pow eps 2) x) |
(* (pow eps 2) (+ eps x)) |
(* (pow eps 2) (+ eps x)) |
(* (pow eps 2) (+ eps x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 3) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ 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 (+ (* 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 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* 10 eps) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 10 eps) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (/ x eps))) |
(* (pow eps 3) (+ 1 (/ x eps))) |
(* (pow eps 3) (+ 1 (/ x eps))) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(pow eps 3) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -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 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* 10 eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 10 eps) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(pow eps 3) |
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1))) |
(* 10 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(pow eps 3) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(+ (* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) (pow eps 3)) |
(+ (* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) (pow eps 3)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 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 (* (pow eps 3) x)) |
(* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(* 10 eps) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 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)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 eps) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(pow eps 3) |
(+ (* (pow eps 2) x) (pow eps 3)) |
(+ (* (pow eps 2) x) (pow eps 3)) |
(+ (* (pow eps 2) x) (pow eps 3)) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (+ (* 10 (/ eps x)) (/ (pow eps 3) (pow x 3)))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 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 eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 x) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* (pow eps 2) x) |
(* x (+ (/ (pow eps 3) x) (pow eps 2))) |
(* x (+ (/ (pow eps 3) x) (pow eps 2))) |
(* x (+ (/ (pow eps 3) x) (pow eps 2))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))) x)) (* 10 eps)) x)) 10))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* (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 eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (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)))) |
(* 5 (* eps (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* 5 (* eps x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* 5 x) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 x) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* (pow eps 2) x) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(* 10 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
| 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 #s(literal 10 binary64) (pow.f64 x #s(literal 3 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 (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x)) 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 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (+.f64 x eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (+.f64 x eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) 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 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x)) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) |
(+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (+.f64 x eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(+ (* -1 (pow x 5)) (pow x 5)) |
#s(literal 0 binary64) |
(+ (* -1 (pow x 5)) (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(+ (* -1 (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))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps) |
(+ (* -1 (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))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 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 (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x)) 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 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (+.f64 x eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x 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 (+ (* 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 #s(literal 10 binary64) (pow.f64 x #s(literal 3 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 (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x)) 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 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 5 (* eps (pow x 3))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64))) eps) |
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) x) x) |
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) x) x) |
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) x) x) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 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 (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 x x)) 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 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 10 x) |
(*.f64 #s(literal 10 binary64) x) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(* (pow eps 2) x) |
(*.f64 (*.f64 x eps) eps) |
(* (pow eps 2) (+ eps x)) |
(*.f64 (*.f64 (+.f64 x eps) eps) eps) |
(* (pow eps 2) (+ eps x)) |
(*.f64 (*.f64 (+.f64 x eps) eps) eps) |
(* (pow eps 2) (+ eps x)) |
(*.f64 (*.f64 (+.f64 x eps) eps) eps) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.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 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) 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 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 6 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 (* 5 (/ 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 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x (/.f64 x eps)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 10 binary64) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (* 5 (/ 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 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x (/.f64 x eps)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 10 binary64) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 3) |
(pow.f64 eps #s(literal 3 binary64)) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x (/.f64 x eps)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(* 5 (* eps (pow x 3))) |
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(* 5 x) |
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(*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 10 x) |
(*.f64 #s(literal 10 binary64) x) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) |
(* (pow eps 2) x) |
(*.f64 (*.f64 x eps) eps) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 #s(literal 10 binary64) (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 #s(literal 10 binary64) (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 #s(literal 10 binary64) (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 389 |
| 0 | 83 | 387 |
| 1 | 320 | 377 |
| 2 | 2302 | 374 |
| 0 | 8600 | 370 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(*.f64 (+.f64 eps x) (*.f64 eps eps)) |
(*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) |
| Outputs |
|---|
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Compiled 15 308 to 1 958 computations (87.2% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 697 | 16 | 713 |
| Fresh | 16 | 6 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 717 | 26 | 743 |
| Status | Accuracy | Program |
|---|---|---|
| 10.4% | (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)))) | |
| 82.7% | (fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| 41.7% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 88.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) | |
| 73.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) | |
| 73.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) | |
| ✓ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
| 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) | |
| ✓ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
| 73.4% | #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 #s(approx (* (+ eps x) (* eps eps)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 10 binary64)) x) x))) | |
| 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) | |
| 88.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps eps)))) | |
| 88.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) | |
| 73.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) | |
| ✓ | 73.0% | #s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) |
Compiled 1 393 to 622 computations (55.3% saved)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #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(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ eps x) (* eps eps)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.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)))) |
(-.f64 #s(approx (pow (+ x eps) 5) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (+.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (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)))) |
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
3 calls:
| 39.0ms | x |
| 21.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 16.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
| 98.0% | 3 | eps |
| 99.1% | 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 (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #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(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ eps x) (* eps eps)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.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)))) |
(-.f64 #s(approx (pow (+ x eps) 5) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
1 calls:
| 25.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #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(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ eps x) (* eps eps)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.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)))) |
(-.f64 #s(approx (pow (+ x eps) 5) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
1 calls:
| 11.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #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(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ eps x) (* eps eps)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.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)))) |
(-.f64 #s(approx (pow (+ x eps) 5) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps 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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
1 calls:
| 11.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #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(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ eps x) (* eps eps)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.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)))) |
(-.f64 #s(approx (pow (+ x eps) 5) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
1 calls:
| 14.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (-.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 (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #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(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ eps x) (* eps eps)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 4 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps (*.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)))) |
(-.f64 #s(approx (pow (+ x eps) 5) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
1 calls:
| 11.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #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(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ eps x) (* eps eps)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
1 calls:
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.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)) |
| 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
1 calls:
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 x eps))) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) #s(approx (* (* (+ (* 5 x) eps) eps) eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x))) eps) 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) |
2 calls:
| 7.0ms | eps |
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 3 | eps |
| 97.9% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) 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 #s(approx (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) (*.f64 eps eps)) #s(literal 10 binary64)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (+.f64 eps x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* x (+ (* 5 eps) (* 10 x))) eps) (* 10 (pow x 3))) eps) (* 5 (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x eps) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
2 calls:
| 31.0ms | x |
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 3 | x |
| 97.6% | 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 (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 5 binary64) x)) eps) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 x) (* eps 10)) (*.f64 #s(literal 10 binary64) eps)) eps) (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
3 calls:
| 3.0ms | eps |
| 3.0ms | x |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 1 | eps |
| 83.6% | 1 | x |
| 83.6% | 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 (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) 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 |
|---|---|---|
| 83.5% | 1 | x |
| 83.5% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.5% | 1 | eps |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* eps eps) 10) (+ x eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* (+ (* 5 x) (* eps 10)) eps) (* x x)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
3 calls:
| 12.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 2.0ms | eps |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 1 | x |
| 73.1% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 73.1% | 1 | eps |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.0% | 1 | eps |
| 73.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 73.0% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2835101117772187e-291 |
| 0.0ms | -1.897e-321 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 1321 |
| 1 | 178 | 1321 |
| 2 | 207 | 1321 |
| 3 | 230 | 1321 |
| 4 | 238 | 1321 |
| 5 | 240 | 1321 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (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)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 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 (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (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)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) x (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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x) x (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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) x (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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 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 (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)) eps) #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)) eps) #s(literal 5 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)) x (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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) x) x (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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)) x (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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)) x (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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) 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 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) 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 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) (*.f64 x x)) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps)) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) (*.f64 x x)) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) (*.f64 x x)) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* (+ eps x) 10) (* x x)) (* (* (+ (* 5 x) eps) eps) eps)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* 5 x) (* eps 10)) eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) (*.f64 x x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 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 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* (* eps eps) 10) (+ x eps)) x) (*.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x) eps)) x))) |
#s(approx (+ (* (* (neg (pow x 3)) x) x) (pow (+ eps x) 5)) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 491 |
| 0 | 103 | 491 |
| 1 | 408 | 479 |
| 2 | 3084 | 477 |
| 0 | 8491 | 473 |
| 0 | 619 | 9236 |
| 1 | 2247 | 8612 |
| 0 | 8153 | 8035 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 0 | 516 | 7498 |
| 1 | 1713 | 6959 |
| 2 | 5923 | 6090 |
| 0 | 8152 | 5761 |
| 0 | 61 | 389 |
| 0 | 83 | 387 |
| 1 | 320 | 377 |
| 2 | 2302 | 374 |
| 0 | 8600 | 370 |
| 0 | 42 | 298 |
| 0 | 72 | 298 |
| 1 | 278 | 280 |
| 2 | 2184 | 280 |
| 0 | 8343 | 277 |
| 0 | 464 | 7205 |
| 1 | 1610 | 6718 |
| 2 | 5777 | 6090 |
| 0 | 8239 | 5752 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2855 | 1056 |
| 0 | 8390 | 988 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 503 to 622 computations (58.6% saved)
Compiled 1 410 to 194 computations (86.2% saved)
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