
Time bar (total: 6.2s)
| 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)
| 822.0ms | 6 625× | 0 | valid |
| 395.0ms | 1 306× | 1 | valid |
| 163.0ms | 325× | 2 | valid |
ival-pow: 522.0ms (48.3% of total)ival-<=: 167.0ms (15.4% of total)adjust: 164.0ms (15.2% of total)ival-sub: 102.0ms (9.4% of total)ival-add: 77.0ms (7.1% of total)ival-and: 24.0ms (2.2% of total)exact: 21.0ms (1.9% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 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 | 33 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 0 |
| - | 0 | 223 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 0 |
| - | 0 | 0 | 223 |
| number | freq |
|---|---|
| 0 | 223 |
| 1 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 406× | 0 | valid |
| 18.0ms | 90× | 1 | valid |
| 4.0ms | 16× | 2 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-pow: 25.0ms (66.3% of total)adjust: 5.0ms (13.3% of total)ival-add: 4.0ms (10.6% of total)ival-sub: 3.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 53 |
| 1 | 22 | 53 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 12 | 9 |
| 0 | 12 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.2% | (-.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)
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 | 12 | 23 |
| 0 | 12 | 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 | 0.0 | (pow.f64 x #s(literal 5 binary64)) | |
| accuracy | 0.0 | (+.f64 x eps) | |
| accuracy | 0.0234375 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 7.476719101104865 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 15.0ms | 203× | 0 | valid |
| 9.0ms | 8× | 2 | valid |
| 8.0ms | 45× | 1 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 10.0ms (59.3% of total)adjust: 3.0ms (17.8% of total)ival-add: 2.0ms (11.9% of total)ival-sub: 2.0ms (11.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow eps 5))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (+ x eps) #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (+ eps x))) |
#s(approx (pow x 5) #s(hole binary64 (pow x 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow x 5))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))))))))) |
#s(approx (+ x eps) #s(hole binary64 x)) |
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))))))))) |
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | -inf | ((- (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 | x | @ | 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 297 | 1605 |
| 1 | 952 | 1474 |
| 2 | 4170 | 1426 |
| 0 | 8166 | 1338 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow eps 5))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (+ x eps) #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (+ eps x))) |
#s(approx (pow x 5) #s(hole binary64 (pow x 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow x 5))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))))))))) |
#s(approx (+ x eps) #s(hole binary64 x)) |
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))))))))) |
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#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)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow eps 5))) |
#s(approx (pow (+ x eps) 5) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (pow (+ x eps) 5) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) (fma.f64 (fma.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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ x eps) #s(hole binary64 eps)) |
#s(approx (+ x eps) eps) |
#s(approx (+ x eps) #s(hole binary64 (+ eps x))) |
#s(approx (+ x eps) (+.f64 eps x)) |
#s(approx (pow x 5) #s(hole binary64 (pow x 5))) |
#s(approx (pow x 5) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.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) x)))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (pow x 5))) |
#s(approx (pow (+ x eps) 5) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (*.f64 #s(literal 5 binary64) eps)) x)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))))))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) eps)) x)) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) eps) x) (/.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))) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ x eps) #s(hole binary64 x)) |
#s(approx (+ x eps) x) |
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) eps (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) eps (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 eps x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (neg.f64 x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) eps (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x))) x)) (neg.f64 x)) #s(literal 1 binary64)))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (fma.f64 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))) |
#s(approx (pow (+ x eps) 5) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) (fma.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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)))) |
#s(approx (pow (+ x eps) 5) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.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))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (pow (+ x eps) 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) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))))))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.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))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.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)) (neg.f64 eps)) #s(literal 1 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) #s(hole 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))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.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)) (neg.f64 eps)) #s(literal 1 binary64)))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 50 | 20 |
| 0 | 350 | 20 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))) |
(fma.f64 (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))) |
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) (/.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #s(literal 5 binary64)) |
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(+.f64 eps x) |
(+.f64 x eps) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 5 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))) |
Compiled 2 151 to 398 computations (81.5% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 78 | 10 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 78 | 11 | 89 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 87.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
| ▶ | 87.5% | #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 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| ▶ | 87.8% | #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) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
| 82.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.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) x)))) (pow.f64 x #s(literal 4 binary64)))) | |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.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)) (neg.f64 eps)) #s(literal 1 binary64)))) | |
| 78.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
Compiled 575 to 373 computations (35.1% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| cost-diff | 5 | (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))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 2 | (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) | |
| cost-diff | 5 | (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 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)))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 307 |
| 0 | 62 | 287 |
| 1 | 114 | 262 |
| 2 | 312 | 262 |
| 3 | 1119 | 262 |
| 4 | 3973 | 259 |
| 0 | 8122 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
x |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) |
#s(literal 5 binary64) |
eps |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x) |
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) |
#s(literal 6 binary64) |
(*.f64 eps eps) |
(*.f64 (*.f64 eps eps) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 6 binary64) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 5 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
x |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) |
(*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
#s(literal 5 binary64) |
eps |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x) |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) |
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
#s(literal 6 binary64) |
(*.f64 eps eps) |
(*.f64 (*.f64 eps eps) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 6 binary64) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 5 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| accuracy | 0.11556625976844201 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.158535009768442 | (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))) | |
| accuracy | 10.204110618004684 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| accuracy | 0.07259750976844201 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.162441259768442 | (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) | |
| accuracy | 10.204110618004684 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 14.890527314471566 | (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x) | |
| accuracy | 0.0 | (/.f64 x eps) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.15234375 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 7.793548986656813 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 8.013943853056876 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.09765625 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 7.793548986656813 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
| 91.0ms | 195× | 0 | valid |
| 35.0ms | 51× | 1 | valid |
| 9.0ms | 10× | 2 | valid |
Compiled 257 to 39 computations (84.8% saved)
ival-pow: 56.0ms (52.3% of total)ival-mult: 24.0ms (22.4% of total)adjust: 11.0ms (10.3% of total)ival-add: 10.0ms (9.3% of total)ival-div: 4.0ms (3.7% of total)ival-sub: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (+ 1 (* 5 (/ x eps))))) |
#s(approx (/ x eps) #s(hole binary64 (/ x eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2))))))) |
#s(approx (+ (* (pow x 3) 6) (* (pow x 3) 4)) #s(hole binary64 (* 10 (pow x 3)))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 10 (* eps (pow x 3))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 3) (+ (* 5 x) (* 10 eps))))) |
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x))) |
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* 5 (/ x eps)))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* x (+ (* 5 (/ 1 eps)) (/ 1 x))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 5 (pow x 4)))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 4) (+ 5 (* 10 (/ eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (* (pow eps 4) 5) #s(hole binary64 (* 5 (pow eps 4)))) |
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4))) |
#s(approx (pow eps 5) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (/ (+ eps (* 5 x)) eps))) |
#s(approx (+ (* 6 (* eps eps)) (* (* eps eps) 4)) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))) |
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* -1 (* eps (+ (* -5 (/ (pow x 4) eps)) (* -1 (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5)) |
| 9.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5)) |
| 5.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5)) |
| 5.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5)) |
| 5.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* (pow x 3) 6) (* (pow x 3) 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (* (pow x 4) 5)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 387 | 2164 |
| 1 | 1269 | 1936 |
| 2 | 5563 | 1848 |
| 0 | 8561 | 1729 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (+ 1 (* 5 (/ x eps))))) |
#s(approx (/ x eps) #s(hole binary64 (/ x eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2))))))) |
#s(approx (+ (* (pow x 3) 6) (* (pow x 3) 4)) #s(hole binary64 (* 10 (pow x 3)))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 10 (* eps (pow x 3))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 3) (+ (* 5 x) (* 10 eps))))) |
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x))) |
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* 5 (/ x eps)))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* x (+ (* 5 (/ 1 eps)) (/ 1 x))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 5 (pow x 4)))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 4) (+ 5 (* 10 (/ eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (* (pow eps 4) 5) #s(hole binary64 (* 5 (pow eps 4)))) |
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4))) |
#s(approx (pow eps 5) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (/ (+ eps (* 5 x)) eps))) |
#s(approx (+ (* 6 (* eps eps)) (* (* eps eps) 4)) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))) |
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* -1 (* eps (+ (* -5 (/ (pow x 4) eps)) (* -1 (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#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)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps eps) (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ x eps) 5) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (+ 1 (* 5 (/ x eps))))) |
#s(approx (+ (* (/ x eps) 5) 1) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) |
#s(approx (/ x eps) #s(hole binary64 (/ x eps))) |
#s(approx (/ x eps) (/.f64 x eps)) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (/.f64 (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2))))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) |
#s(approx (+ (* (pow x 3) 6) (* (pow x 3) 4)) #s(hole binary64 (* 10 (pow x 3)))) |
#s(approx (+ (* (pow x 3) 6) (* (pow x 3) 4)) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 10 (* eps (pow x 3))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 3) (+ (* 5 x) (* 10 eps))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x))) |
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4)))) |
#s(approx (* (pow x 4) 5) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 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(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64))) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#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 (+ (* (/ x eps) 5) 1) #s(hole binary64 (* 5 (/ x eps)))) |
#s(approx (+ (* (/ x eps) 5) 1) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (* x (+ (* 5 (/ 1 eps)) (/ 1 x))))) |
#s(approx (+ (* (/ x eps) 5) 1) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* 5 (pow x 4)))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* (pow x 4) (+ 5 (* 10 (/ eps x)))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) x)) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#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)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#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(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) eps)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (* (pow eps 4) 5) #s(hole binary64 (* 5 (pow eps 4)))) |
#s(approx (* (pow eps 4) 5) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4))) |
#s(approx (pow eps 4) (pow.f64 eps #s(literal 4 binary64))) |
#s(approx (pow eps 5) #s(hole binary64 (pow eps 5))) |
#s(approx (pow eps 5) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (+ (* (/ x eps) 5) 1) #s(hole binary64 (/ (+ eps (* 5 x)) eps))) |
#s(approx (+ (* (/ x eps) 5) 1) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* 6 (* eps eps)) (* (* eps eps) 4)) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (+ (* 6 (* eps eps)) (* (* eps eps) 4)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) (*.f64 eps eps))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps)) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) #s(hole binary64 (* -1 (* eps (+ (* -5 (/ (pow x 4) eps)) (* -1 (+ (* 4 (pow x 3)) (* 6 (pow x 3))))))))) |
#s(approx (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 258 |
| 0 | 62 | 238 |
| 1 | 245 | 213 |
| 2 | 1880 | 213 |
| 0 | 8861 | 213 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
(fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 15 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 15 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) (/.f64 (pow.f64 eps #s(literal 15 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) (/.f64 (pow.f64 eps #s(literal 15 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
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(+.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps)) |
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(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
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(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 eps)) |
(pow.f64 (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 5 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal 5 binary64)) |
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(/.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 eps #s(literal 10 binary64))) |
(sqrt.f64 (pow.f64 eps #s(literal 10 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(fabs.f64 (pow.f64 eps #s(literal 5 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 5/2 binary64) (*.f64 (log.f64 eps) #s(literal 5/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
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(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 216 binary64) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 64 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 4 binary64)))) (*.f64 x x)) |
(/.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 216 binary64) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 64 binary64))) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) |
(neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 6 binary64) eps) (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x)) |
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 6 binary64) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x)) |
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x)) |
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 eps eps) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 eps eps) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x)) |
(fma.f64 eps (/.f64 (*.f64 #s(literal 4 binary64) eps) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))) |
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))) |
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps eps)) #s(literal 18 binary64)) x) (/.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps eps)) #s(literal 8 binary64)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 6 binary64) eps)) eps) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) (/.f64 (*.f64 #s(literal -6 binary64) (*.f64 eps eps)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 eps eps)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (neg.f64 eps) (*.f64 #s(literal 4 binary64) eps)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 216 binary64)) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 216 binary64)) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)) (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x))) |
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 216 binary64)) (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) x) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 36 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 4 binary64)) x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) |
(fabs.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
Compiled 25 817 to 3 048 computations (88.2% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 662 | 9 | 671 |
| Fresh | 4 | 1 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 670 | 12 | 682 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 81.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) | |
| ✓ | 87.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 87.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) | |
| ▶ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
| ▶ | 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| 78.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| ▶ | 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
| ▶ | 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
Compiled 552 to 377 computations (31.7% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) | |
| cost-diff | 2 | (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| cost-diff | 0 | #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) | |
| cost-diff | 2 | (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) | |
| cost-diff | 4 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 381 |
| 0 | 78 | 369 |
| 1 | 159 | 340 |
| 2 | 522 | 325 |
| 3 | 2655 | 325 |
| 0 | 8076 | 312 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
x |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
eps |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
(*.f64 eps x) |
#s(literal 5 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 (/.f64 eps x) (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
x |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
eps |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
(*.f64 eps x) |
#s(literal 5 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06478500976844201 | (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) | |
| accuracy | 0.09765625 | (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) | |
| accuracy | 0.2057800781475361 | (*.f64 (*.f64 eps x) #s(literal 5 binary64)) | |
| accuracy | 10.204110618004684 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.04296875 | (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) | |
| accuracy | 10.316420293981835 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 5 binary64) eps) | |
| accuracy | 0.07259750976844201 | (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 10.204110618004684 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 29.119796313467813 | #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) | |
| accuracy | 0.17446007069442182 | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) | |
| accuracy | 4.779411834467117 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) | |
| accuracy | 10.204110618004684 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) | |
| accuracy | 14.890527314471566 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) | |
| accuracy | 0.0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 7.793548986656813 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| 82.0ms | 188× | 0 | valid |
| 53.0ms | 55× | 1 | valid |
| 12.0ms | 13× | 2 | valid |
Compiled 268 to 47 computations (82.5% saved)
ival-pow: 56.0ms (45.8% of total)ival-mult: 37.0ms (30.3% of total)adjust: 12.0ms (9.8% of total)ival-add: 10.0ms (8.2% of total)ival-div: 4.0ms (3.3% of total)ival-sub: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps)) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x)))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2))))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x))) |
#s(approx (* (* (pow x 4) eps) 5) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (pow x 4) eps) #s(hole binary64 (* eps (pow x 4)))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (/ (* (* eps eps) 10) x) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (* (* eps x) 5) #s(hole binary64 (* 5 (* eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 5 (* eps x)))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x)))))) |
#s(approx (* 5 eps) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (* eps eps) 10) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5)) |
| 5.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5)) |
| 4.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5)) |
| 4.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5)) |
| 4.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (+ (* 10 (* eps eps)) (* (* eps x) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (/ (* (* eps eps) 10) x) (* (* eps eps) 10) (* (* eps x) 5)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 2555 |
| 1 | 1422 | 2264 |
| 2 | 6362 | 2240 |
| 0 | 8071 | 2096 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps)) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x)))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2))))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x))) |
#s(approx (* (* (pow x 4) eps) 5) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (pow x 4) eps) #s(hole binary64 (* eps (pow x 4)))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (/ (* (* eps eps) 10) x) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (* (* eps x) 5) #s(hole binary64 (* 5 (* eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 5 (* eps x)))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x)))))) |
#s(approx (* 5 eps) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (* eps eps) 10) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#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)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps)) |
#s(approx (+ (* 5 x) eps) eps) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x)))) |
#s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps)) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (/.f64 eps x))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (* 6 (pow eps 2)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 3) (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2))))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (* 6 (pow eps 2))) x))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (/ (+ (* 4 (pow eps 2)) (+ (* 5 (* eps x)) (* 6 (pow eps 2)))) x))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (/.f64 eps x))) |
#s(approx (* (* (pow x 4) eps) 5) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (pow x 4) eps) 5) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (* (pow x 4) eps) #s(hole binary64 (* eps (pow x 4)))) |
#s(approx (* (pow x 4) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
#s(approx (/ (* (* eps eps) 10) x) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (/ (* (* eps eps) 10) x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
#s(approx (* (* eps x) 5) #s(hole binary64 (* 5 (* eps x)))) |
#s(approx (* (* eps x) 5) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 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(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.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 (+ (* 5 x) eps) #s(hole binary64 (* 5 x))) |
#s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x))))) |
#s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow x 4) (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x))))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 5 eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (+ (* 4 (/ (pow eps 2) x)) (+ (* 5 eps) (* 6 (/ (pow eps 2) x)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* 5 (* eps x)))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 (*.f64 #s(literal -6 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 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)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5))))) |
#s(approx (+ (* 5 x) eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -5 binary64)))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal -5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#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(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) eps)) eps)) eps)) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4))) |
#s(approx (pow eps 4) (pow.f64 eps #s(literal 4 binary64))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* eps (+ 5 (* 10 (/ eps x)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
#s(approx (* 5 eps) #s(hole binary64 (* 5 eps))) |
#s(approx (* 5 eps) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
#s(approx (* (* eps eps) 10) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (* (* eps eps) 10) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (*.f64 x (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps)))))) |
#s(approx (+ (* 5 x) eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps)) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps)) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) 10) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) (*.f64 eps eps))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (pow x 4)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps)) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* 10 (/ (pow eps 2) x)))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) (*.f64 eps eps))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps)))))) |
#s(approx (+ (* 10 (* eps eps)) (* (* eps x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 10 binary64)) eps) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps)) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (pow x 3) (+ (* 10 (* eps eps)) (* (* eps x) 5))) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -6 binary64))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x (fma.f64 (*.f64 x x) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))) eps))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (* (+ (* 5 x) eps) (pow eps 4)) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1))))) |
#s(approx (+ (* 5 x) eps) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 342 |
| 0 | 78 | 322 |
| 1 | 293 | 297 |
| 2 | 2324 | 297 |
| 0 | 9679 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps))) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps (pow.f64 eps #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) eps (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 eps (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) (*.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) (neg.f64 (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 eps eps))) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (fma.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(fma.f64 x #s(literal 5 binary64) eps) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(-.f64 eps (*.f64 #s(literal -5 binary64) x)) |
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 5 binary64))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(+.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(+.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (neg.f64 eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps) |
(*.f64 (neg.f64 eps) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 eps)) |
(pow.f64 (neg.f64 eps) #s(literal 4 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))))))) |
(/.f64 (pow.f64 (*.f64 eps eps) #s(literal 6 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 eps #s(literal 4 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps))) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 3 binary64))) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps))) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 x (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 eps eps) (*.f64 (/.f64 #s(literal 100 binary64) x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) eps) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps)) (-.f64 (*.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) |
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(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) eps)) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 eps) x) #s(literal 5 binary64))) |
(fabs.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
Compiled 31 507 to 3 711 computations (88.2% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 700 | 11 | 711 |
| Fresh | 2 | 3 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 706 | 17 | 723 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 87.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 87.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| ▶ | 87.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| 87.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) | |
| ▶ | 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64))) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) | |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| 78.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| ▶ | 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) | |
| ▶ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
Compiled 912 to 580 computations (36.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) | |
| cost-diff | 0 | #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| cost-diff | 4 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 377 |
| 0 | 75 | 367 |
| 1 | 166 | 351 |
| 2 | 567 | 323 |
| 3 | 2682 | 323 |
| 4 | 7449 | 323 |
| 0 | 8012 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps x) eps) |
(*.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) eps) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
eps |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
eps |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))))) |
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps x) eps) |
(*.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) eps) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) |
eps |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
eps |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.03515625 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.11556625976844201 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 10.316420293981835 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| accuracy | 0.06316376953688403 | (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) | |
| accuracy | 0.22265625 | (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) | |
| accuracy | 10.204110618004684 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) | |
| accuracy | 0.046875 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 x x) eps) | |
| accuracy | 10.316420293981835 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) | |
| accuracy | 0.06316376953688403 | (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)) | |
| accuracy | 0.13208508277819156 | (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) | |
| accuracy | 10.204110618004684 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) | |
| accuracy | 13.07231891023734 | #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) | |
| accuracy | 7.793548986656813 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| 100.0ms | 59× | 1 | valid |
| 57.0ms | 185× | 0 | valid |
| 9.0ms | 12× | 2 | valid |
Compiled 256 to 46 computations (82% saved)
ival-mult: 52.0ms (50.3% of total)ival-pow: 20.0ms (19.4% of total)adjust: 14.0ms (13.5% of total)ival-add: 8.0ms (7.7% of total)ival-sub: 7.0ms (6.8% of total)ival-div: 2.0ms (1.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 eps eps) |
(*.f64 (*.f64 x x) eps) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps)) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x)))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (* (* eps x) eps) 10) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (* x x) (* (* x x) eps)) #s(hole binary64 (* eps (pow x 4)))) |
#s(approx (* (* (* x x) (* (* x x) eps)) 5) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (* (pow x 4) 5) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4)))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2)))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 5 (* eps (pow x 2))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 5 (* eps x)))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5))))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))))) |
#s(approx (* (* eps eps) (* eps eps)) #s(hole binary64 (pow eps 4))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | eps | @ | 0 | ((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x)))) |
| 7.0ms | x | @ | inf | ((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x)))) |
| 5.0ms | eps | @ | -inf | ((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x)))) |
| 4.0ms | eps | @ | inf | ((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x)))) |
| 4.0ms | x | @ | -inf | ((* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* (* (* eps x) eps) 10) (* (* x x) (* (* x x) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) eps)) 5) (* x x) (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (* (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* eps eps) (* (* x x) eps) (* eps (+ (* 10 eps) (* 5 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 2234 |
| 1 | 1302 | 2042 |
| 2 | 5783 | 2018 |
| 0 | 8454 | 1893 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps)) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x)))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (* (* eps x) eps) 10) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (* x x) (* (* x x) eps)) #s(hole binary64 (* eps (pow x 4)))) |
#s(approx (* (* (* x x) (* (* x x) eps)) 5) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (* (pow x 4) 5) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4)))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2)))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* 5 (* (pow eps 4) x)))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* 5 x))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* x (+ 5 (/ eps x))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 2))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 5 (* eps (pow x 2))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 5 (* eps x)))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 5))))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))))) |
#s(approx (* (* eps eps) (* eps eps)) #s(hole binary64 (pow eps 4))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (pow x 4))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* 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)))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ eps (* 5 x))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* eps (+ (* 5 x) (* 10 eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))))))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* (pow eps 5) (+ 1 (* 5 (/ x eps)))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* eps (+ 1 (* 5 (/ x eps)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))))) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (* 6 (pow x 3)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow eps 2) (+ (* 4 (pow x 3)) (+ (* 5 (/ (pow x 4) eps)) (* 6 (pow x 3))))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* (pow eps 2) (+ 10 (* 5 (/ x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (pow eps 5))) |
#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)) #s(hole binary64 (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (pow eps 5))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (+ (* 5 (* (pow eps 4) x)) (pow eps 5)))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 eps)) |
#s(approx (+ (* 5 x) eps) eps) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (+ eps (* 5 x)))) |
#s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps)) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps)) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x)) |
#s(approx (* (* (* eps x) eps) 10) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (* (* eps x) eps) 10) (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))) |
#s(approx (* (* x x) (* (* x x) eps)) #s(hole binary64 (* eps (pow x 4)))) |
#s(approx (* (* x x) (* (* x x) eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
#s(approx (* (* (* x x) (* (* x x) eps)) 5) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (pow x 4) 5) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps)) |
#s(approx (* (* (* eps (+ (* 10 eps) (* 5 x))) x) (* x x)) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* 10 (* (pow eps 2) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps)) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) #s(hole binary64 (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* 10 (* (pow eps 2) x)))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x)) |
#s(approx (* (* (pow x 4) 5) eps) #s(hole binary64 (* 5 (* eps (pow x 4))))) |
#s(approx (* (* (pow x 4) 5) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (* (pow x 4) 5) #s(hole binary64 (* 5 (pow x 4)))) |
#s(approx (* (pow x 4) 5) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2)))) |
#s(approx (* (* x x) eps) (*.f64 (*.f64 x eps) x)) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (* 10 (pow eps 2)))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) #s(hole binary64 (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
#s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole binary64 (* (pow x 4) (+ eps (* 4 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(hole binary64 (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(hole 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)))))))))))) |
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#s(approx (* (* eps (+ (* 10 eps) (* 5 x))) x) #s(hole binary64 (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))))) |
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#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x (fma.f64 #s(literal -6 binary64) (*.f64 x x) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))) eps))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))))) |
#s(approx (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* 5 x) eps) #s(hole binary64 (* -1 (* eps (- (* -5 (/ x eps)) 1))))) |
#s(approx (+ (* 5 x) eps) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 337 |
| 0 | 75 | 301 |
| 1 | 269 | 295 |
| 2 | 1833 | 295 |
| 0 | 8868 | 290 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 eps eps) |
(*.f64 (*.f64 x x) eps) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
| Outputs |
|---|
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps) |
(*.f64 (neg.f64 eps) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 (neg.f64 eps) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
(/.f64 (pow.f64 (*.f64 eps eps) #s(literal 6 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 4 binary64))) |
(neg.f64 (pow.f64 eps #s(literal 4 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
(fabs.f64 (pow.f64 eps #s(literal 4 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 3 binary64))) eps) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(*.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(/.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps))) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps (pow.f64 eps #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) eps (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 eps (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) (*.f64 (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) (neg.f64 (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 eps eps))) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (fma.f64 (*.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
(/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(fma.f64 x #s(literal 5 binary64) eps) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 5 binary64))) |
(-.f64 eps (*.f64 #s(literal -5 binary64) x)) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
(+.f64 (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(+.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(+.f64 eps (*.f64 #s(literal 5 binary64) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))))) |
(*.f64 (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64))) x) x) |
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(*.f64 x (*.f64 x eps)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) #s(literal 125 binary64) (*.f64 #s(literal -1000 binary64) (pow.f64 eps #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 #s(literal -10 binary64) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps)) (neg.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 #s(literal 100 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) eps)))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))))) (neg.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 100 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) eps)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1000 binary64) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64))) eps) (fma.f64 #s(literal 100 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) eps))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) |
(/.f64 (*.f64 eps (fma.f64 #s(literal -125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64)))) (fma.f64 #s(literal 100 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (fma.f64 #s(literal -1000 binary64) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 #s(literal -10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 10 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 (neg.f64 eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) (*.f64 x eps) (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 eps (neg.f64 (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 eps (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
(-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -5 binary64) x) eps)) |
(-.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (*.f64 #s(literal 5 binary64) x))) |
(+.f64 (/.f64 (*.f64 #s(literal -1000 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(+.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
Compiled 15 161 to 1 793 computations (88.2% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 420 | 8 | 428 |
| Fresh | 5 | 4 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 428 | 17 | 445 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 87.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 87.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| 87.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| 87.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) | |
| ✓ | 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| 87.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) | |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| 78.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| 87.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| 87.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) | |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) | |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
Compiled 1 653 to 554 computations (66.5% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.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 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.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)) (neg.f64 eps)) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.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) x)))) (pow.f64 x #s(literal 4 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 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
3 calls:
| 17.0ms | x |
| 10.0ms | eps |
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 98.8% | 3 | x |
| 97.5% | 3 | eps |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.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 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #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)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.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 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #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)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.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 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.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 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
1 calls:
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
1 calls:
| 27.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.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 (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (*.f64 x x)) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.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 (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
1 calls:
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) 10) x)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
| 98.6% | 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)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 1 | eps |
| 87.4% | 1 | x |
| 87.4% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -6.416736230840702e-293 | -4.531242444005844e-293 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7.468663831374158e-305 |
| 0.0ms | -3.5189583231999245e-293 | 0.0 |
Compiled 12 to 12 computations (0% saved)
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 915 |
| 1 | 206 | 911 |
| 2 | 410 | 911 |
| 3 | 1180 | 911 |
| 4 | 3586 | 909 |
| 5 | 6994 | 909 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) (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)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.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 -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.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 -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.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 -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.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 -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 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)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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 (fma.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 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)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (not (<=.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 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) (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)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (not (<=.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 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (not (<=.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 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (+ (* 6 (* eps eps)) (* (* eps eps) 4)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -2247116418577895/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (not (<=.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 (*.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 (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x eps)) (*.f64 x x))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (not (<=.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 (*.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 (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 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)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (pow x 3) 6) (* (pow x 3) 4)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| 1× | fuel |
Compiled 927 to 131 computations (85.9% saved)
Compiled 1 872 to 276 computations (85.3% saved)
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