
Time bar (total: 8.2s)
| 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)
| 694.0ms | 6 687× | 0 | valid |
| 272.0ms | 288× | 2 | valid |
| 260.0ms | 1 281× | 1 | valid |
ival-pow: 531.0ms (53.8% of total)ival-<=: 137.0ms (13.9% of total)ival-sub: 106.0ms (10.7% of total)ival-add: 104.0ms (10.5% of total)adjust: 59.0ms (6% of total)ival-and: 25.0ms (2.5% of total)exact: 21.0ms (2.1% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 27 | 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 | 27 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 27 | 0 |
| - | 0 | 229 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 27 | 0 | 0 |
| - | 0 | 0 | 229 |
| number | freq |
|---|---|
| 0 | 229 |
| 1 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 434× | 0 | valid |
| 10.0ms | 64× | 1 | valid |
| 3.0ms | 14× | 2 | valid |
Compiled 82 to 32 computations (61% saved)
ival-pow: 19.0ms (65.8% of total)ival-add: 3.0ms (10.4% of total)ival-sub: 3.0ms (10.4% of total)adjust: 2.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 39 | 49 |
| 2 | 87 | 47 |
| 3 | 163 | 47 |
| 4 | 290 | 47 |
| 5 | 425 | 47 |
| 6 | 514 | 47 |
| 7 | 558 | 47 |
| 8 | 603 | 47 |
| 9 | 618 | 47 |
| 10 | 626 | 47 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 14 | 9 |
| 2 | 19 | 9 |
| 3 | 25 | 9 |
| 4 | 33 | 9 |
| 5 | 48 | 9 |
| 6 | 81 | 9 |
| 7 | 106 | 9 |
| 8 | 149 | 9 |
| 9 | 164 | 9 |
| 10 | 172 | 9 |
| 0 | 172 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 5 binary64)) | |
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 0 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 14 | 23 |
| 2 | 19 | 23 |
| 3 | 25 | 23 |
| 4 | 33 | 23 |
| 5 | 48 | 23 |
| 6 | 81 | 23 |
| 7 | 106 | 23 |
| 8 | 149 | 23 |
| 9 | 164 | 23 |
| 10 | 172 | 23 |
| 0 | 172 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 5 binary64)) | |
| accuracy | 0 | (+.f64 x eps) | |
| accuracy | 0.048202539073768064 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 5.26546671302547 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 17.0ms | 217× | 0 | valid |
| 5.0ms | 32× | 1 | valid |
| 2.0ms | 7× | 2 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-pow: 11.0ms (67.4% of total)ival-add: 2.0ms (12.3% of total)adjust: 1.0ms (6.1% of total)ival-sub: 1.0ms (6.1% 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 |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(pow x 5) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 959 |
| 1 | 817 | 859 |
| 2 | 2844 | 712 |
| 0 | 8380 | 666 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(pow x 5) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (*.f64 (/.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 eps x) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (/.f64 eps x))))) (pow.f64 x #s(literal 5 binary64))) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 (/.f64 eps x) x x) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 (/.f64 eps x) x x) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64))) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 (/.f64 x eps) eps eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 30 binary64)))) (fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (pow.f64 (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)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (+.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 5 binary64)) (pow.f64 x #s(literal 5 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 (+.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 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal 1 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 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 x #s(literal 20 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 30 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) (pow.f64 x #s(literal 20 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 30 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 45 binary64)) (pow.f64 x #s(literal 45 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 15 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 eps x) #s(literal 30 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 eps x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps)))) (neg.f64 (pow.f64 (-.f64 x eps) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 (neg.f64 eps) eps))) (pow.f64 (-.f64 x eps) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x eps)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 x eps)) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 (neg.f64 eps) eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (*.f64 (neg.f64 eps) eps))) (*.f64 (-.f64 x eps) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) #s(literal 1 binary64))) (*.f64 (-.f64 x eps) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 eps eps (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (-.f64 x eps) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (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 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 eps x))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (+.f64 eps x))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(+.f64 eps x) |
(+.f64 x eps) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) |
Compiled 9 613 to 1 230 computations (87.2% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 303 | 10 | 313 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 303 | 11 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 89.9% | #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)))) |
| ▶ | 89.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| ▶ | 89.9% | #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)))) |
| 80.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| 81.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| 80.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) | |
| 76.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| ▶ | 80.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
Compiled 537 to 365 computations (32% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (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 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| cost-diff | 6656 | (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) | |
| cost-diff | 128 | (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) | |
| cost-diff | 0 | (/.f64 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 | 40 | 335 |
| 0 | 68 | 335 |
| 1 | 110 | 325 |
| 2 | 208 | 312 |
| 3 | 474 | 312 |
| 4 | 1108 | 312 |
| 5 | 2111 | 312 |
| 6 | 5268 | 312 |
| 0 | 8024 | 304 |
| 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 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#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 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) eps) x) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 (/.f64 #s(literal 10 binary64) eps) x) x) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (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 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05144501953688403 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.14344012416728733 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 0.17482377930532603 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 11.659813180614325 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| accuracy | 0.28515625 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) | |
| accuracy | 6.272345704739548 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 9.548015121001031 | (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 14.06382780990877 | (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.12109375 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.2120397142319462 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 6.491334606204518 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 6.845316236916639 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.07650375976844202 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 6.491334606204518 | #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)))) |
| 114.0ms | 209× | 0 | valid |
| 23.0ms | 37× | 1 | valid |
| 8.0ms | 10× | 2 | valid |
Compiled 616 to 83 computations (86.5% saved)
ival-mult: 47.0ms (42.2% of total)ival-pow: 40.0ms (35.9% of total)ival-add: 10.0ms (9% of total)ival-div: 6.0ms (5.4% of total)adjust: 5.0ms (4.5% of total)ival-sub: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 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 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 5 (/ x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | 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) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10) (* (pow x 4) 5)) |
| 6.0ms | 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) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10) (* (pow x 4) 5)) |
| 6.0ms | 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) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10) (* (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) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10) (* (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) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10) (* (pow x 4) 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 400 | 1700 |
| 1 | 1368 | 1572 |
| 2 | 4659 | 1393 |
| 3 | 7679 | 1393 |
| 0 | 8186 | 1299 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 5 (/ x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 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)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/ x eps) |
(/.f64 x eps) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x #s(literal 1 binary64)) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64)) |
(* 10 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64)) x) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) x) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) x) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (*.f64 (/.f64 (/.f64 x eps) eps) x) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x #s(literal 1 binary64)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 x (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) eps) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (/.f64 x eps) eps) x) #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 x eps) eps) x) #s(literal 8 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (/.f64 x eps) eps) x) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x #s(literal 1 binary64)) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (/.f64 #s(literal 5 binary64) eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (/.f64 #s(literal 5 binary64) eps))) (*.f64 eps eps)) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -10 binary64) (*.f64 (/.f64 x eps) x) (*.f64 #s(literal -5 binary64) x)) eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -10 binary64) (*.f64 (/.f64 x eps) x) (*.f64 #s(literal -5 binary64) x)) eps)) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) x (/.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)))) (neg.f64 eps))) eps) eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(/.f64 (fma.f64 #s(literal -10 binary64) (*.f64 (/.f64 x eps) x) (*.f64 #s(literal -5 binary64) x)) (neg.f64 eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 286 |
| 0 | 68 | 286 |
| 1 | 253 | 276 |
| 2 | 1831 | 276 |
| 0 | 8511 | 272 |
| 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 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))) (pow.f64 (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 -1 binary64))) |
(pow.f64 (/.f64 (-.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 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (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))))) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64)))) #s(literal -1 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)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))))) (neg.f64 (neg.f64 (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 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 10 binary64)))) (*.f64 (-.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 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) |
(/.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))) (-.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 (-.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 (-.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 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64)))) (neg.f64 (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 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 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64)))) (neg.f64 (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 2 binary64)) (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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.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 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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))))) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))) (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (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 #s(literal 1 binary64) (/.f64 (-.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 2 binary64)) (pow.f64 eps #s(literal 10 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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))))) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 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 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 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 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 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 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 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)) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 eps) #s(literal 4 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 eps)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(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))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 5 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 eps)) |
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) #s(literal -1 binary64)) (neg.f64 eps))) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) #s(literal -1 binary64)) eps)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 eps))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) #s(literal -1 binary64)) eps)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) eps)) |
(*.f64 (pow.f64 (/.f64 eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 eps (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 eps #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (/.f64 #s(literal -1 binary64) eps)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps)) |
(pow.f64 (/.f64 (/.f64 eps (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 eps (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #s(literal -1 binary64))) (neg.f64 eps)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) (pow.f64 eps #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 eps #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (neg.f64 eps)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) eps))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #s(literal 1 binary64))) eps) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64))) (neg.f64 eps)) |
(/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #s(literal -1 binary64)) eps) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) (pow.f64 eps #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))))) (neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 eps (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) eps) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) eps)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #s(literal 1 binary64)) (neg.f64 eps)) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64)) eps) |
(/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) (*.f64 eps (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 eps (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (neg.f64 eps)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 eps (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 eps (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))))) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))) eps) (/.f64 (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))) eps)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps))) |
(-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (/.f64 (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps) eps)) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -10 binary64)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -10 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -10 binary64) x)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 #s(literal -10 binary64) (neg.f64 (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x (neg.f64 (*.f64 #s(literal -10 binary64) x))) |
(*.f64 x (*.f64 #s(literal 10 binary64) x)) |
(neg.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -10 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) x)) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
Compiled 22 649 to 2 781 computations (87.7% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 605 | 13 | 618 |
| Fresh | 3 | 2 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 612 | 17 | 629 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 90.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
| ✓ | 89.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 19.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) eps) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) x (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 90.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) | |
| 81.5% | #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)))) | |
| 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| ▶ | 89.8% | #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)))) |
| ▶ | 81.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
| 10.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64))))) eps)) | |
| 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| ▶ | 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
| 72.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) eps)) | |
| ▶ | 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
| 72.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
Compiled 1 072 to 679 computations (36.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 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)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 548 |
| 0 | 91 | 548 |
| 1 | 156 | 532 |
| 2 | 321 | 517 |
| 3 | 896 | 517 |
| 4 | 2004 | 511 |
| 5 | 3615 | 511 |
| 6 | 7496 | 511 |
| 0 | 8188 | 508 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps (+.f64 eps x))) |
eps |
(*.f64 eps (+.f64 eps x)) |
(+.f64 eps x) |
x |
#s(literal 10 binary64) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 eps (+.f64 eps x)) |
eps |
(+.f64 eps x) |
#s(literal 10 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 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) |
(*.f64 eps (*.f64 eps (+.f64 eps x))) |
(*.f64 (*.f64 (+.f64 eps x) eps) eps) |
eps |
(*.f64 eps (+.f64 eps x)) |
(*.f64 (+.f64 eps x) eps) |
(+.f64 eps x) |
x |
#s(literal 10 binary64) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) x) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) |
(*.f64 eps (+.f64 eps x)) |
(*.f64 (+.f64 eps x) eps) |
eps |
(+.f64 eps x) |
#s(literal 10 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 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 eps x) (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1386400511575378 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 0.27309437308446116 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 11.798163122702098 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 17.204894881105414 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| accuracy | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| accuracy | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 6.491334606204518 | #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)))) | |
| accuracy | 0.11328125 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) | |
| accuracy | 0.14357377930532605 | (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) | |
| accuracy | 0.18101503907376806 | (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) | |
| accuracy | 11.659813180614325 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 #s(literal 10 binary64) x) x) | |
| accuracy | 11.659813180614325 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) | |
| accuracy | 13.191091362572388 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) | |
| accuracy | 0.0703125 | (*.f64 eps (*.f64 eps (+.f64 eps x))) | |
| accuracy | 0.07650375976844202 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.15737387648261503 | (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) | |
| accuracy | 6.254512312373386 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
| 83.0ms | 201× | 0 | valid |
| 37.0ms | 48× | 1 | valid |
| 6.0ms | 7× | 2 | valid |
Compiled 932 to 114 computations (87.8% saved)
ival-mult: 44.0ms (45.4% of total)ival-pow: 27.0ms (27.9% of total)ival-add: 12.0ms (12.4% of total)adjust: 9.0ms (9.3% of total)ival-div: 2.0ms (2.1% of total)ival-sub: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) |
#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)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 eps (*.f64 eps (+.f64 eps x))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 5 (pow eps 4)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
eps |
(+ eps (* 5 x)) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(pow eps 3) |
(+ (* (pow eps 2) x) (pow eps 3)) |
(* 10 (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow eps 2) x) |
(* x (+ (/ (pow eps 3) x) (pow eps 2))) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 4) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* (pow eps 2) (+ eps x)) |
(* eps (+ (* 10 eps) (* 10 x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(* -10 (pow eps 2)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 3) (+ 1 (/ x eps))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* eps (* eps (+ eps x))) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (pow eps 4) 5) (* eps (* eps (+ eps x))) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* eps (+ eps x)) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* eps eps) -10)) |
| 7.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* eps (* eps (+ eps x))) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (pow eps 4) 5) (* eps (* eps (+ eps x))) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* eps (+ eps x)) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* eps eps) -10)) |
| 7.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* eps (* eps (+ eps x))) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (pow eps 4) 5) (* eps (* eps (+ eps x))) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* eps (+ eps x)) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* eps eps) -10)) |
| 5.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* eps (* eps (+ eps x))) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (pow eps 4) 5) (* eps (* eps (+ eps x))) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* eps (+ eps x)) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* eps eps) -10)) |
| 5.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* eps (* eps (+ eps x))) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (pow eps 4) 5) (* eps (* eps (+ eps x))) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* eps (+ eps x)) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* eps eps) -10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 2369 |
| 1 | 1873 | 2233 |
| 2 | 6665 | 2216 |
| 0 | 8205 | 2065 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 5 (pow eps 4)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
eps |
(+ eps (* 5 x)) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(pow eps 3) |
(+ (* (pow eps 2) x) (pow eps 3)) |
(* 10 (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow eps 2) x) |
(* x (+ (/ (pow eps 3) x) (pow eps 2))) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 4) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* (pow eps 2) (+ eps x)) |
(* eps (+ (* 10 eps) (* 10 x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(* -10 (pow eps 2)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 3) (+ 1 (/ x eps))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (+.f64 eps x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
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(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 eps x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 eps x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow eps 2) (+ eps x)) |
(*.f64 (*.f64 (+.f64 eps x) eps) eps) |
(* eps (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) |
(* -10 (pow eps 2)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 6 binary64) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x (/.f64 x eps)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 10 binary64) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 x eps)) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (/.f64 #s(literal 5 binary64) eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (/.f64 #s(literal 5 binary64) eps))) (*.f64 eps eps)) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 5 binary64) eps)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 3) (+ 1 (/ x eps))) |
(*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) (/.f64 #s(literal 5 binary64) eps) (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(*.f64 (fma.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) #s(literal 5 binary64))) (*.f64 eps eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))) eps)))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x eps) x) eps) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) x (/.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)))) (neg.f64 eps))) eps) eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(*.f64 (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -5 binary64) (*.f64 #s(literal -10 binary64) x)) eps)) eps) eps) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -5 binary64))) (neg.f64 eps))) eps) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 491 |
| 0 | 91 | 491 |
| 1 | 309 | 475 |
| 2 | 2163 | 467 |
| 0 | 8424 | 455 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) |
#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)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 eps (*.f64 eps (+.f64 eps x))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) x (*.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 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) (pow.f64 eps #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(fma.f64 (+.f64 eps x) (*.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) |
(fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(fma.f64 x (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) x))) (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps)))) (/.f64 (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps))))) |
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) |
(+.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)))) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x))) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 2 binary64))) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) #s(literal 1000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64))) x)) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) #s(literal 1000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64))))) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 2 binary64))) x) (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) #s(literal 1000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64))) x) (fma.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) x))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps)))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) #s(literal 1000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64)))) (fma.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x)) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)))) |
(fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)))) |
(+.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x))) |
(*.f64 (*.f64 #s(literal -10 binary64) eps) eps) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps (*.f64 #s(literal -10 binary64) eps)) |
Compiled 25 454 to 2 906 computations (88.6% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 16 | 574 |
| Fresh | 7 | 3 | 10 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 570 | 21 | 591 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 90.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
| ✓ | 89.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) x (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 90.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) | |
| 89.7% | #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)))) | |
| 89.7% | #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))) | |
| 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| 61.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps))))) eps)) | |
| 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x x))) eps)) | |
| ▶ | 81.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
| ▶ | 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
| 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) | |
| 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) | |
| 81.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) | |
| 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) | |
| ▶ | 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
| ▶ | 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
| 90.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) | |
| 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x))) x) x))) | |
| 81.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 1 672 to 1 057 computations (36.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| cost-diff | 0 | #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg 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) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) | |
| cost-diff | 6144 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps) | |
| cost-diff | 0 | #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 854 |
| 0 | 107 | 854 |
| 1 | 192 | 833 |
| 2 | 365 | 809 |
| 3 | 740 | 809 |
| 4 | 1382 | 806 |
| 5 | 2122 | 806 |
| 6 | 4298 | 806 |
| 7 | 7946 | 806 |
| 0 | 8392 | 789 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 x (+.f64 eps x)) |
x |
(+.f64 eps x) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) |
(*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x) |
#s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps x) x) |
(*.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
#s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(*.f64 eps x) |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg 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) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) |
#s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) |
(*.f64 x (+.f64 eps x)) |
(*.f64 (+.f64 eps x) x) |
x |
(+.f64 eps x) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) |
(*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x) |
#s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 eps x) x) |
(*.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) |
(fma.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
#s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(*.f64 eps x) |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg 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) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| accuracy | 0.27309437308446116 | (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 11.798163122702098 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 30.301702741746816 | #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) | |
| accuracy | 0.14357377930532605 | (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) | |
| accuracy | 0.19067883277819156 | (*.f64 (*.f64 eps x) #s(literal 10 binary64)) | |
| accuracy | 11.659813180614325 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) | |
| accuracy | 21.914032453554388 | #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) | |
| accuracy | 0.09441376953688403 | (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 eps x) x) | |
| accuracy | 11.659813180614325 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) | |
| accuracy | 13.191091362572388 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 eps eps) x) | |
| accuracy | 0.11189006324130751 | (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) | |
| accuracy | 11.659813180614325 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) | |
| accuracy | 18.14710266510529 | #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) | |
| accuracy | 0.109375 | (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) | |
| accuracy | 0.22583508277819153 | (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64)) | |
| accuracy | 6.254512312373386 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
| 122.0ms | 208× | 0 | valid |
| 45.0ms | 41× | 1 | valid |
| 7.0ms | 7× | 2 | valid |
Compiled 1 325 to 141 computations (89.4% saved)
ival-mult: 88.0ms (59.5% of total)ival-pow: 33.0ms (22.3% of total)ival-add: 12.0ms (8.1% of total)adjust: 10.0ms (6.8% of total)ival-div: 2.0ms (1.4% of total)ival-sub: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) |
(*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) eps) |
(*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) |
#s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 (*.f64 eps x) x) |
(*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) |
#s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 5 (pow eps 4)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 x))) |
(* 5 (pow eps 3)) |
(+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))) |
(+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))) |
(* 5 (pow eps 2)) |
(+ (* 5 (pow eps 2)) (* 10 (* eps x))) |
(+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow eps 2) x) |
(* eps (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 2) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))) x)) (* 10 eps))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -10 eps) (* -5 (/ (pow eps 2) x))) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 10 x) (* 10 (/ (pow x 2) eps))) eps)) 5))) |
(* (pow eps 2) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* eps x) x) 10) eps) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (* (* x (+ eps x)) 10) (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* (* eps eps) x) 10) (* (* eps eps) x) (* (* eps x) x) (* (* (* eps x) x) 10) (* (* eps (+ eps x)) 10) (* (* eps x) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 4.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* eps x) x) 10) eps) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (* (* x (+ eps x)) 10) (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* (* eps eps) x) 10) (* (* eps eps) x) (* (* eps x) x) (* (* (* eps x) x) 10) (* (* eps (+ eps x)) 10) (* (* eps x) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 4.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* eps x) x) 10) eps) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (* (* x (+ eps x)) 10) (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* (* eps eps) x) 10) (* (* eps eps) x) (* (* eps x) x) (* (* (* eps x) x) 10) (* (* eps (+ eps x)) 10) (* (* eps x) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 4.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* eps x) x) 10) eps) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (* (* x (+ eps x)) 10) (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* (* eps eps) x) 10) (* (* eps eps) x) (* (* eps x) x) (* (* (* eps x) x) 10) (* (* eps (+ eps x)) 10) (* (* eps x) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 4.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (* (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* eps x) x) 10) eps) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (* (* x (+ eps x)) 10) (* (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) eps) (+ (* (* 5 eps) eps) (* (* x (+ eps x)) 10)) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (* (* (* eps eps) x) 10) (* (* eps eps) x) (* (* eps x) x) (* (* (* eps x) x) 10) (* (* eps (+ eps x)) 10) (* (* eps x) 10) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 526 | 2517 |
| 1 | 1899 | 2365 |
| 2 | 6813 | 2352 |
| 0 | 8077 | 2187 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 5 (pow eps 4)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 x))) |
(* 5 (pow eps 3)) |
(+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x))) |
(+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2))))) |
(* 5 (pow eps 2)) |
(+ (* 5 (pow eps 2)) (* 10 (* eps x))) |
(+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow eps 2) x) |
(* eps (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 2) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -5 (/ (pow eps 3) x))) x)) (* 10 eps))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -10 eps) (* -5 (/ (pow eps 2) x))) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 10 x) (* 10 (/ (pow x 2) eps))) eps)) 5))) |
(* (pow eps 2) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) x (*.f64 (*.f64 eps x) #s(literal 5 binary64))) 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 eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps (+.f64 eps x))) eps) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (+.f64 eps x))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps (+.f64 eps x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps (+.f64 eps x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64)) |
(* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps (+.f64 eps x))) |
(* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) eps) |
(+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))) |
(fma.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) |
(* eps (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x (/.f64 x eps)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 10 binary64) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 x eps)) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 5 binary64) eps)) eps) eps) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64)) eps) |
(* (pow eps 3) (+ 5 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 x eps)) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps) eps) |
(* (pow eps 2) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 x eps)) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(*.f64 (fma.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) #s(literal 5 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) (/.f64 #s(literal 5 binary64) eps) (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64))) (*.f64 eps eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x (neg.f64 (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)))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x eps) x) eps) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) x (/.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)))) (neg.f64 eps))) eps) eps) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64)) eps) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 5))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 10 x) (* 10 (/ (pow x 2) eps))) eps)) 5))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x eps) x) eps) #s(literal -10 binary64) #s(literal -5 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x eps) x) eps) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -5 binary64))) (neg.f64 eps))) eps) eps) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(*.f64 (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -5 binary64) (*.f64 #s(literal -10 binary64) x)) eps)) eps) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 787 |
| 0 | 107 | 787 |
| 1 | 357 | 766 |
| 2 | 2364 | 766 |
| 0 | 8977 | 737 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) |
(*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) eps) |
(*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) |
#s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 (*.f64 eps x) x) |
(*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) |
#s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 eps #s(literal 10 binary64)))) (*.f64 (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) (*.f64 x (pow.f64 eps #s(literal 5 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) (*.f64 x (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x)) (pow.f64 (*.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64))) eps) eps)) x) #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (-.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (-.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (-.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (-.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125 binary64) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (-.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 x x) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
(fma.f64 x (*.f64 #s(literal 5 binary64) x) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))))) (/.f64 (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))))) |
(+.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) |
Compiled 20 733 to 1 982 computations (90.4% saved)
23 alts after pruning (16 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 4 | 336 |
| Fresh | 2 | 12 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 334 | 23 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 90.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
| ✓ | 89.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) x (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 90.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) | |
| 89.7% | #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)))) | |
| 89.7% | #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))) | |
| 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| 52.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))))) eps)) | |
| 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x x))) eps)) | |
| 81.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) | |
| ✓ | 81.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
| ✓ | 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
| 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) | |
| 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) | |
| 81.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) | |
| 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) | |
| ✓ | 72.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
| ✓ | 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
| 90.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) | |
| 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) | |
| 81.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x))) x) x))) |
Compiled 2 692 to 915 computations (66% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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 (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
#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)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) x (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x)) eps (*.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 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (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)) (fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (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) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps))))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) eps) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64))))) eps)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 14.0ms | eps |
| 12.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 98.7% | 3 | eps |
| 99.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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 (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
#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)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) x (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x)) eps (*.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 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
3 calls:
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 10.0ms | eps |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
| 97.6% | 3 | eps |
| 98.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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 (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
#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)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) x (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 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 (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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 (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
#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)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
1 calls:
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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 (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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 (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) 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)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (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)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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 (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
| 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 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) 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)))) |
3 calls:
| 7.0ms | x |
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 6.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | x |
| 97.0% | 3 | eps |
| 97.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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 (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) 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 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) 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)))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | x |
| 97.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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 (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps)) 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 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) 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)))) |
2 calls:
| 26.0ms | x |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 3 | x |
| 97.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#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))) |
| Outputs |
|---|
#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 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) 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))) |
1 calls:
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 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 (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) x) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
3 calls:
| 3.0ms | eps |
| 3.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 1 | x |
| 80.9% | 1 | eps |
| 80.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) 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 |
|---|---|---|
| 72.5% | 1 | x |
| 72.5% | 1 | eps |
| 72.5% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5e-323 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.565424331583823e-254 | 8.592975379243273e-239 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.565424331583823e-254 | 8.592975379243273e-239 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.565424331583823e-254 | 8.592975379243273e-239 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.565424331583823e-254 | 8.592975379243273e-239 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.565424331583823e-254 | 8.592975379243273e-239 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.565424331583823e-254 | 8.592975379243273e-239 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.565424331583823e-254 | 8.592975379243273e-239 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.565424331583823e-254 | 8.592975379243273e-239 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.565424331583823e-254 | 8.592975379243273e-239 |
| 0.0ms | -2.0929974e-317 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 1533 |
| 1 | 186 | 1533 |
| 2 | 195 | 1533 |
| 3 | 208 | 1533 |
| 4 | 219 | 1533 |
| 5 | 226 | 1533 |
| 6 | 230 | 1533 |
| 7 | 231 | 1533 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64))) eps) eps)) x (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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) 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)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) 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)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) 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)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) 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 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) eps)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))))) eps)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 eps x) (*.f64 x x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* eps (* eps (+ eps x))) 10) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 eps x) (*.f64 x x)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x))) 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)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) 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)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) 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)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) 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))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x eps)) (*.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x eps)) (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 #s(approx (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) x)) eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 959 |
| 1 | 817 | 859 |
| 2 | 2844 | 712 |
| 0 | 8380 | 666 |
| 0 | 78 | 787 |
| 0 | 107 | 787 |
| 1 | 357 | 766 |
| 2 | 2364 | 766 |
| 0 | 8977 | 737 |
| 0 | 400 | 1700 |
| 1 | 1368 | 1572 |
| 2 | 4659 | 1393 |
| 3 | 7679 | 1393 |
| 0 | 8186 | 1299 |
| 0 | 518 | 2369 |
| 1 | 1873 | 2233 |
| 2 | 6665 | 2216 |
| 0 | 8205 | 2065 |
| 0 | 57 | 491 |
| 0 | 91 | 491 |
| 1 | 309 | 475 |
| 2 | 2163 | 467 |
| 0 | 8424 | 455 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 149 to 647 computations (69.9% saved)
Compiled 3 084 to 298 computations (90.3% saved)
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