ENA, Section 1.4, Exercise 4b, n=5
Time bar (total: 9.2s)
| 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)
| 864.0ms | 6 689× | 0 | valid |
| 235.0ms | 1 279× | 1 | valid |
| 98.0ms | 288× | 2 | valid |
ival-pow: 410.0ms (55.7% of total)ival-<=: 117.0ms (15.9% of total)ival-add: 62.0ms (8.4% of total)adjust: 55.0ms (7.5% of total)ival-sub: 47.0ms (6.4% of total)ival-and: 22.0ms (3% of total)exact: 20.0ms (2.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 37 | 2 | (-3.912918817185636e-10 1.3502231094970547e-286) | 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 | 39 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 37 | 0 |
| - | 2 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 0 |
| - | 2 | 0 | 217 |
| number | freq |
|---|---|
| 0 | 217 |
| 1 | 39 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 408× | 0 | valid |
| 14.0ms | 92× | 1 | valid |
| 3.0ms | 12× | 2 | valid |
Compiled 82 to 32 computations (61% saved)
ival-pow: 20.0ms (67% of total)adjust: 3.0ms (10% of total)ival-add: 3.0ms (10% of total)ival-sub: 3.0ms (10% 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 |
|---|---|---|
| ▶ | 87.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| 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 | 0.0 | (pow.f64 x #s(literal 5 binary64)) | |
| accuracy | 0.0 | (+.f64 x eps) | |
| accuracy | 0.05439379884221008 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 8.139623471379661 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 14.0ms | 204× | 0 | valid |
| 7.0ms | 46× | 1 | valid |
| 1.0ms | 6× | 2 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-pow: 10.0ms (68.2% of total)ival-add: 2.0ms (13.6% of total)adjust: 1.0ms (6.8% of total)ival-sub: 1.0ms (6.8% 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 | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 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)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 300 | 13 | 313 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 300 | 14 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| 81.2% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 87.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 86.8% | (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 86.3% | #s(approx (- (pow (+ x eps) 5) (pow x 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)))) | |
| ▶ | 86.0% | #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)))) |
| ▶ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.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)) | |
| 82.9% | #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)) | |
| 86.0% | #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)))) | |
| ▶ | 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
| 79.8% | #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)))) | |
| ▶ | 75.0% | #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)))) |
| 79.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
Compiled 665 to 449 computations (32.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) | |
| cost-diff | 128 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) | |
| cost-diff | 6464 | (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) | |
| cost-diff | 0 | (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| cost-diff | 896 | (fma.f64 (/.f64 x eps) eps eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 380 |
| 0 | 76 | 380 |
| 1 | 124 | 368 |
| 2 | 233 | 354 |
| 3 | 574 | 340 |
| 4 | 1622 | 335 |
| 5 | 4018 | 335 |
| 6 | 6923 | 335 |
| 0 | 8045 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) |
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) |
(fma.f64 (/.f64 x eps) eps eps) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (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)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(*.f64 x x) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
(-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 #s(approx (+ x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) |
(pow.f64 #s(approx (+ x eps) (+.f64 eps x)) #s(literal 5 binary64)) |
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) |
#s(approx (+ x eps) (+.f64 eps x)) |
(fma.f64 (/.f64 x eps) eps eps) |
(+.f64 eps x) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (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)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64))) eps) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64))) eps) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64))) eps) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64))) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64))) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 10 binary64)) eps) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(*.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) x #s(literal -10 binary64)) (*.f64 x x)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.5953448200726 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 9.167063996992415 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) | |
| accuracy | 14.125583396667169 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) | |
| accuracy | 14.445651989587901 | (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.08726503907376806 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 8.760399465969789 | #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)))) | |
| accuracy | 0.1535707754707914 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.18816376953688402 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 10.789214345072372 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 14.317929242758686 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 9.040853807817266 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.0 | #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) | |
| accuracy | 0.04658129884221008 | (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) | |
| accuracy | 0.046875 | (fma.f64 (/.f64 x eps) eps eps) | |
| accuracy | 8.139623471379661 | (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 67.0ms | 190× | 0 | valid |
| 50.0ms | 56× | 1 | valid |
| 7.0ms | 9× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 696 to 88 computations (87.4% saved)
ival-pow: 26.0ms (31.9% of total)ival-mult: 22.0ms (27% of total)ival-div: 11.0ms (13.5% of total)ival-add: 10.0ms (12.3% of total)adjust: 7.0ms (8.6% of total)ival-sub: 2.0ms (2.5% of total)ival-neg: 2.0ms (2.5% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 x eps) eps eps) |
(-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) |
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
#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)) |
(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))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
#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)))) |
| Outputs |
|---|
eps |
(+ eps x) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (/ (pow eps 2) 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)))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* -10 (pow x 2)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* x (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* -10 (/ (pow x 3) eps)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x))))) |
(* (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)))))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* (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 (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow x 3) (+ (* -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))))) |
(* 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)) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(/ (+ (* 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 eps 2)) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* eps (+ 1 (/ x eps))) |
(* (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 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) 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))))))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -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 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -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))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 100.0ms | x | @ | -inf | ((+ (* (/ x eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 6.0ms | eps | @ | 0 | ((+ (* (/ x eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 5.0ms | x | @ | 0 | ((+ (* (/ x eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 5.0ms | eps | @ | inf | ((+ (* (/ x eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 4.0ms | x | @ | inf | ((+ (* (/ x eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (/ (* (pow x 3) 10) (neg eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 443 | 1916 |
| 1 | 1485 | 1760 |
| 2 | 5176 | 1538 |
| 0 | 8272 | 1443 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
eps |
(+ eps x) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (/ (pow eps 2) 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)))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* -10 (pow x 2)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* x (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* -10 (/ (pow x 3) eps)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x))))) |
(* (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)))))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* (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 (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow x 3) (+ (* -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))))) |
(* 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)) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(/ (+ (* 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 eps 2)) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* eps (+ 1 (/ x eps))) |
(* (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 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) 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))))))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -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 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -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))) |
| Outputs |
|---|
eps |
(+ eps x) |
(+.f64 eps x) |
(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 (*.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 (+ (* 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* -10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64)) x) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x) |
(* x (+ 5 (* x (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64)) x) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(*.f64 (*.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x)) x) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 (/.f64 eps x) x x) |
(* (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 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.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 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64))))) (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) eps (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 4 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (*.f64 (/.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (/.f64 eps x)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) eps) x) (/.f64 eps x) (+.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 eps x))))) (pow.f64 x #s(literal 5 binary64))) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 10 binary64) eps))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (/.f64 (/.f64 #s(literal 10 binary64) x) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 10 binary64) x) eps)) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(*.f64 (fma.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64) (*.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (/.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (/.f64 #s(literal 5 binary64) x) (fma.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 #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 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 x)))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -1 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps x))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (/.f64 (/.f64 #s(literal 10 binary64) x) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 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)) 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 x x) #s(literal 10 binary64)) (+.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) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (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)) eps) #s(literal 10 binary64) (*.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 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (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)) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (+.f64 eps x)) eps) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 2)) |
(/.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))) (*.f64 eps eps)) |
(* -10 (pow eps 2)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.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))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) 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 x (/.f64 (/.f64 x eps) eps)) #s(literal 2 binary64) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal 8 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 x (/.f64 (/.f64 x eps) eps)) #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) (+.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 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x)) 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 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))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal -10 binary64)) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x) |
(+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64)) x) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(*.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) eps) #s(literal 10 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 x (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) #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 x (/.f64 (/.f64 x eps) 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))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 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 (neg.f64 (-.f64 #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))) (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 (/.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))) |
(* -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 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) |
(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)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(*.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) eps) #s(literal 10 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 282 |
| 0 | 76 | 282 |
| 1 | 291 | 272 |
| 2 | 2225 | 268 |
| 0 | 8504 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x eps) eps eps) |
(-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) |
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
#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)) |
(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))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
#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)))) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 eps) eps)) (pow.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 eps)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 eps)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 eps) eps))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 1 binary64))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 eps)) (*.f64 eps eps))) (*.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 eps)) (fma.f64 x #s(literal 1 binary64) (neg.f64 eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 eps (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 eps) eps))) (neg.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 eps)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 eps) eps)) (fma.f64 x #s(literal 1 binary64) (neg.f64 eps))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 1 binary64)) eps)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 eps)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 eps) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 1 binary64))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 eps x) (pow.f64 eps #s(literal -1 binary64)) eps) |
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x eps) eps eps) |
(fma.f64 eps (/.f64 x eps) eps) |
(fma.f64 x (/.f64 eps eps) eps) |
(fma.f64 x #s(literal 1 binary64) eps) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x #s(literal 1 binary64) (neg.f64 eps))) (/.f64 (*.f64 eps eps) (fma.f64 x #s(literal 1 binary64) (neg.f64 eps)))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) eps) |
(+.f64 eps (*.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps)) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps)) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps)) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps)) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 x #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps))) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps)) #s(literal 5 binary64))) (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 x #s(literal 1 binary64) eps)) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) #s(literal -1 binary64)) |
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(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 5 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps) (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
Compiled 17 002 to 2 333 computations (86.3% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 449 | 15 | 464 |
| Fresh | 6 | 2 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 458 | 20 | 478 |
| Status | Accuracy | Program |
|---|---|---|
| 81.2% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 87.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 86.8% | (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 86.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
| ✓ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 75.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps))))) | |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)) | |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 85.9% | #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)))) | |
| 70.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| ▶ | 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| ▶ | 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
| 82.4% | #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)))) | |
| 86.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) | |
| ▶ | 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) | |
| ▶ | 82.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.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))) |
Compiled 1 178 to 793 computations (32.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.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)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.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))) | |
| cost-diff | 704 | (*.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) | |
| cost-diff | 0 | (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) | |
| cost-diff | 0 | #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (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 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 | 69 | 537 |
| 0 | 100 | 537 |
| 1 | 193 | 528 |
| 2 | 463 | 514 |
| 3 | 1262 | 514 |
| 4 | 2362 | 506 |
| 5 | 5258 | 506 |
| 0 | 8158 | 493 |
| 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
eps |
(+.f64 eps x) |
x |
(*.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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x x) |
x |
#s(literal 10 binary64) |
(+.f64 eps x) |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
eps |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (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))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.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)) |
(*.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) |
(*.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) |
(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))) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
#s(literal 5 binary64) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) eps) eps (*.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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) eps) eps (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) eps) eps (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) eps) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
eps |
(+.f64 eps x) |
x |
(*.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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) x) (*.f64 #s(literal 10 binary64) eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) x) (*.f64 #s(literal 10 binary64) eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) x) (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x x) |
x |
#s(literal 10 binary64) |
(+.f64 eps x) |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x)) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) |
eps |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (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))) |
#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 (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))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.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)) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (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)) |
(*.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) |
(*.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) |
(*.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) |
(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))) |
(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))) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
#s(literal 5 binary64) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11063253162065376 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 0.31985737609432596 | (*.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) | |
| accuracy | 5.344219510216261 | (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) | |
| accuracy | 11.020048682710772 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.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))) | |
| accuracy | 0.1535707754707914 | (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.21484375 | (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) | |
| accuracy | 11.020048682710772 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 19.322976807362174 | (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.0390625 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.12175751953688403 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 11.188113567843308 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| accuracy | 0.21742882069442182 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 0.23354049002854615 | (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)) | |
| accuracy | 8.76979051745339 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) | |
| accuracy | 10.947475753774453 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps))) | |
| accuracy | 0.10326478198312539 | (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) | |
| accuracy | 0.14357377930532605 | (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) | |
| accuracy | 0.19207001953688402 | (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) | |
| accuracy | 8.76979051745339 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
| 168.0ms | 177× | 0 | valid |
| 56.0ms | 70× | 1 | valid |
| 33.0ms | 9× | 2 | valid |
Compiled 896 to 132 computations (85.3% saved)
ival-mult: 39.0ms (26.5% of total)adjust: 33.0ms (22.4% of total)ival-pow: 30.0ms (20.4% of total)ival-div: 26.0ms (17.6% of total)ival-add: 15.0ms (10.2% of total)ival-sub: 2.0ms (1.4% of total)ival-neg: 2.0ms (1.4% of total)exact: 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 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 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))) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.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))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.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)) |
(*.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) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #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)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
(* 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 (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 (pow x 2)) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(/ (pow x 4) eps) |
(* 10 (pow x 3)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (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))))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) 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 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))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 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))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* (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)))) |
(* eps (+ (* 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 (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ 10 (* 5 (/ 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 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (* (* 10 (* eps eps)) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) eps) (* 10 (* eps eps)) (* (* x x) 10) (* eps (+ (* 10 eps) (* 5 x))) (/ (pow x 4) eps) (* (pow x 3) 10)) |
| 6.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (* (* 10 (* eps eps)) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) eps) (* 10 (* eps eps)) (* (* x x) 10) (* eps (+ (* 10 eps) (* 5 x))) (/ (pow x 4) eps) (* (pow x 3) 10)) |
| 5.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (* (* 10 (* eps eps)) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) eps) (* 10 (* eps eps)) (* (* x x) 10) (* eps (+ (* 10 eps) (* 5 x))) (/ (pow x 4) eps) (* (pow x 3) 10)) |
| 5.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (* (* 10 (* eps eps)) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) eps) (* 10 (* eps eps)) (* (* x x) 10) (* eps (+ (* 10 eps) (* 5 x))) (/ (pow x 4) eps) (* (pow x 3) 10)) |
| 4.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (* (* 10 (* eps eps)) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (* (* (+ (* (/ (pow x 4) eps) 5) (* (pow x 3) 10)) eps) eps) (* 10 (* eps eps)) (* (* x x) 10) (* eps (+ (* 10 eps) (* 5 x))) (/ (pow x 4) eps) (* (pow x 3) 10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 414 | 1787 |
| 1 | 1469 | 1655 |
| 2 | 5209 | 1490 |
| 0 | 8355 | 1401 |
| 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)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
(* 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 (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 (pow x 2)) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(/ (pow x 4) eps) |
(* 10 (pow x 3)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (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))))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) 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 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))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 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))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* (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)))) |
(* eps (+ (* 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 (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ 10 (* 5 (/ 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 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
| 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)) 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 (+ (* 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 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 eps x)) 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)) |
(fma.f64 (*.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)) (* 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 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 eps x)) 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))) |
(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))) |
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(*.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 #s(literal 10 binary64) (pow.f64 x #s(literal 3 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 (/.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 (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 (* 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 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 458 |
| 0 | 100 | 458 |
| 1 | 387 | 449 |
| 2 | 3000 | 443 |
| 0 | 8728 | 436 |
| 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 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))) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.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))) |
#s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.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)) |
(*.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) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #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)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (-.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.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 15 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.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 15 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #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)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 5 binary64)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 x (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64)) (-.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))))) |
(+.f64 (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 2 binary64))) (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64))) (pow.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 125 binary64) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 2 binary64))) (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) (fma.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 125 binary64) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
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(fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(fma.f64 (neg.f64 eps) (*.f64 #s(literal -10 binary64) eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
(fma.f64 #s(literal -10 binary64) (neg.f64 (*.f64 eps eps)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) (*.f64 eps x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(fma.f64 eps (neg.f64 (*.f64 #s(literal -10 binary64) eps)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
(fma.f64 eps (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(+.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(+.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) eps)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 x x) eps)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (pow.f64 eps #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(pow.f64 (/.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) eps) |
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) eps) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) eps) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps)) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) eps)) |
(neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) x)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
Compiled 17 395 to 1 870 computations (89.2% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 19 | 393 |
| Fresh | 9 | 3 | 12 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 3 | 3 |
| Total | 388 | 25 | 413 |
| Status | Accuracy | Program |
|---|---|---|
| 81.2% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 87.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 86.8% | (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 86.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
| 86.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) | |
| ✓ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) | |
| ▶ | 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) | |
| ▶ | 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| 86.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) | |
| 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) | |
| 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) | |
| 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) | |
| ▶ | 69.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
| ▶ | 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
| 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) | |
| 82.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps))) |
Compiled 1 594 to 1 025 computations (35.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #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 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) | |
| cost-diff | 0 | #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) | |
| cost-diff | 0 | #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 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 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 640 | (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 624 |
| 0 | 101 | 620 |
| 1 | 205 | 592 |
| 2 | 447 | 575 |
| 3 | 1007 | 575 |
| 4 | 2999 | 567 |
| 5 | 6965 | 567 |
| 0 | 8173 | 556 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(*.f64 eps eps) |
eps |
(*.f64 (*.f64 eps eps) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
x |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps))) |
(*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)) |
#s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(*.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) |
(*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
x |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
eps |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps 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 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
eps |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(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 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps x) eps) (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 eps x) eps) (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) (*.f64 eps eps)) |
(*.f64 eps eps) |
eps |
(*.f64 (*.f64 eps eps) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) (*.f64 eps x)) |
(*.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
x |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps))) |
(*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)) |
#s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(*.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) (*.f64 (*.f64 x x) eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) (*.f64 (*.f64 x x) eps))) |
(*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) (*.f64 (*.f64 x x) eps)) |
x |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) (*.f64 eps x)) |
(*.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
eps |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 eps 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 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#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 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x)) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) |
eps |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (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))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) | |
| accuracy | 0.1535707754707914 | (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.1875 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) | |
| accuracy | 11.020048682710772 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0.1535707754707914 | (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 0.21484375 | (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) | |
| accuracy | 11.020048682710772 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| accuracy | 19.322976807362174 | (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) | |
| accuracy | 0.1865425308977578 | (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) | |
| accuracy | 0.19207001953688402 | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) | |
| accuracy | 8.76979051745339 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) | |
| accuracy | 10.947475753774453 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) | |
| accuracy | 0.2450726316204016 | (*.f64 (*.f64 eps x) #s(literal 10 binary64)) | |
| accuracy | 8.76979051745339 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) | |
| accuracy | 10.947475753774453 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps))) | |
| accuracy | 18.129368719952993 | #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) | |
| accuracy | 0.18035126953688402 | (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) | |
| accuracy | 0.1865425308977578 | (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) | |
| accuracy | 0.19207001953688402 | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) | |
| accuracy | 8.76979051745339 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
| 167.0ms | 177× | 0 | valid |
| 51.0ms | 70× | 1 | valid |
| 8.0ms | 9× | 2 | valid |
Compiled 1 018 to 134 computations (86.8% saved)
ival-mult: 137.0ms (68.9% of total)ival-pow: 23.0ms (11.6% of total)ival-add: 14.0ms (7% of total)ival-div: 12.0ms (6% of total)adjust: 8.0ms (4% of total)ival-sub: 2.0ms (1% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps))) |
(*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)) |
#s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) |
(*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps 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 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
| Outputs |
|---|
(* 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))))) |
(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)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (* (pow eps 3) x)) |
(* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* 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)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(* 10 (* eps x)) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
5 |
(+ 5 (* 10 (/ eps x))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 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))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 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 (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow eps 2)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (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 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 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 (* (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))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | ((+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) x) (pow eps 5)) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* x (* (* (+ eps x) x) (* (* eps eps) 10))) (* (* (+ eps x) x) (* (* eps eps) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ eps x) 10) 5) eps) (pow x 4)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5) (* (* eps eps) 10) (* (* eps eps) 5) (* (* eps x) 10) (* eps (+ (* 10 eps) (* 5 x)))) |
| 5.0ms | eps | @ | -inf | ((+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) x) (pow eps 5)) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* x (* (* (+ eps x) x) (* (* eps eps) 10))) (* (* (+ eps x) x) (* (* eps eps) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ eps x) 10) 5) eps) (pow x 4)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5) (* (* eps eps) 10) (* (* eps eps) 5) (* (* eps x) 10) (* eps (+ (* 10 eps) (* 5 x)))) |
| 4.0ms | eps | @ | inf | ((+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) x) (pow eps 5)) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* x (* (* (+ eps x) x) (* (* eps eps) 10))) (* (* (+ eps x) x) (* (* eps eps) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ eps x) 10) 5) eps) (pow x 4)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5) (* (* eps eps) 10) (* (* eps eps) 5) (* (* eps x) 10) (* eps (+ (* 10 eps) (* 5 x)))) |
| 3.0ms | eps | @ | 0 | ((+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) x) (pow eps 5)) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* x (* (* (+ eps x) x) (* (* eps eps) 10))) (* (* (+ eps x) x) (* (* eps eps) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ eps x) 10) 5) eps) (pow x 4)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5) (* (* eps eps) 10) (* (* eps eps) 5) (* (* eps x) 10) (* eps (+ (* 10 eps) (* 5 x)))) |
| 3.0ms | x | @ | 0 | ((+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (+ (* (* eps eps) (* (* eps eps) 5)) (* (* (+ eps x) x) (* (* eps eps) 10))) x) (pow eps 5)) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (* (* x x) 10) (+ eps x)) (* eps eps)) (* (* (* x x) 10) (+ eps x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* x (* (* (+ eps x) x) (* (* eps eps) 10))) (* (* (+ eps x) x) (* (* eps eps) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* eps (+ (* 10 eps) (* 5 x))) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ eps x) 10) 5) eps) (pow x 4)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5) (* (* eps eps) 10) (* (* eps eps) 5) (* (* eps x) 10) (* eps (+ (* 10 eps) (* 5 x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 1712 |
| 1 | 1413 | 1580 |
| 2 | 5019 | 1419 |
| 0 | 8254 | 1332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))))) |
(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)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (* (pow eps 3) x)) |
(* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* 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)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(* 10 (* eps x)) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
5 |
(+ 5 (* 10 (/ eps x))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 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))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 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 (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow eps 2)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (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 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 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 (* (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))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
| Outputs |
|---|
(* 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))) |
(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))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (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)) 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))) |
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(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -10 binary64) 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 -10 binary64) x) x (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 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 (/.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 (*.f64 x (fma.f64 x (/.f64 x eps) x)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 x eps) x)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 x eps) x)) #s(literal 10 binary64)) eps) |
(* -1 (* (pow eps 3) (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 529 |
| 0 | 101 | 521 |
| 1 | 398 | 492 |
| 2 | 2931 | 492 |
| 0 | 8622 | 485 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps))) |
(*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)) |
#s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) |
(*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps 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 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (+.f64 x eps) x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 125 binary64))) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (+.f64 x eps) x))) (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) (fma.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 125 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (+.f64 x eps) x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (+.f64 x eps) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 125 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (+.f64 x eps) x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 125 binary64))) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (+.f64 x eps) x))) (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))))) (fma.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) (*.f64 (pow.f64 eps #s(literal 12 binary64)) #s(literal 125 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 (+.f64 x eps) x) eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (+.f64 x eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 5 binary64)) eps (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) eps) eps) #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (+.f64 x eps) x) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) eps) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (+.f64 x eps) x) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (+.f64 x eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 x (*.f64 (+.f64 x eps) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 eps (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 (+.f64 x eps) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(-.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 25 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (+.f64 x eps) x)))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (*.f64 (+.f64 x eps) x))))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) x (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (pow.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps))) x (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) #s(literal -1 binary64))) |
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(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64))) eps) (fma.f64 #s(literal 100 binary64) (*.f64 eps eps) (*.f64 (*.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) eps))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64)))) (fma.f64 #s(literal 100 binary64) (*.f64 eps eps) (*.f64 (*.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(/.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (*.f64 x #s(literal 5 binary64)) eps))))) |
(fma.f64 (neg.f64 (*.f64 eps eps)) #s(literal -10 binary64) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) |
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) |
(fma.f64 (neg.f64 eps) (*.f64 #s(literal -10 binary64) eps) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(fma.f64 #s(literal -10 binary64) (neg.f64 (*.f64 eps eps)) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(fma.f64 x (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x eps) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) |
(fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(fma.f64 eps (neg.f64 (*.f64 #s(literal -10 binary64) eps)) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(fma.f64 eps (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(fma.f64 eps (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) |
(+.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) |
(+.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
Compiled 17 666 to 1 771 computations (90% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 15 | 404 |
| Fresh | 7 | 10 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 399 | 30 | 429 |
| Status | Accuracy | Program |
|---|---|---|
| 81.2% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 87.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 86.8% | (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 86.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (+.f64 x eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x))) x (pow.f64 eps #s(literal 5 binary64)))) | |
| 86.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) | |
| ✓ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x eps)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) | |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 82.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 82.4% | #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)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 86.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) | |
| 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) | |
| 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) | |
| 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) | |
| 69.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) | |
| ✓ | 69.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
| 69.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) | |
| 69.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) | |
| ✓ | 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
| 69.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
Compiled 3 440 to 1 117 computations (67.5% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x x) #s(literal 10 binary64)) (+.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)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #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 x x) (+.f64 x eps)) #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)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) 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 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) 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)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (+.f64 x eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64)) x)) 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)))) |
(-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (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))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) 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 (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)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.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 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps))))) |
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 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)))) |
| Outputs |
|---|
(-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 57.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 20.0ms | x |
| 19.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
| 97.1% | 3 | eps |
| 99.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x x) #s(literal 10 binary64)) (+.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)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #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 x x) (+.f64 x eps)) #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)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) 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 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) 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)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (+.f64 x eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64)) x)) 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)))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
1 calls:
| 15.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x x) #s(literal 10 binary64)) (+.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)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #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 x x) (+.f64 x eps)) #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)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) 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 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) 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)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (+.f64 x eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x))) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64)) x)) 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 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x (pow.f64 eps #s(literal 5 binary64)))) |
2 calls:
| 62.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
| 98.4% | 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x x) #s(literal 10 binary64)) (+.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)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #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 x x) (+.f64 x eps)) #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)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) 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 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) 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)))) |
| 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 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 11.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x x) #s(literal 10 binary64)) (+.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)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #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 x x) (+.f64 x eps)) #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)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) 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 (fma.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) 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)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) eps) eps)) x (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 11.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x x) #s(literal 10 binary64)) (+.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)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 eps x)) #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 x x) (+.f64 x eps)) #s(literal 10 binary64)) 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 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
1 calls:
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
1 calls:
| 11.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
1 calls:
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
1 calls:
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
1 calls:
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
1 calls:
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
1 calls:
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
3 calls:
| 10.0ms | eps |
| 5.0ms | x |
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 1 | eps |
| 82.6% | 1 | x |
| 82.6% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps x) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 x (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (+.f64 eps x) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) x) x) (*.f64 eps eps)) #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) x) (pow eps 5)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 #s(approx (* eps (+ (* 10 eps) (* 5 x))) (*.f64 (*.f64 x eps) #s(literal 5 binary64))) x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
3 calls:
| 5.0ms | x |
| 5.0ms | eps |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 1 | eps |
| 82.4% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 82.4% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) 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 |
|---|---|---|
| 82.4% | 1 | eps |
| 82.4% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 82.4% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
3 calls:
| 3.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 1 | x |
| 82.4% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 82.4% | 1 | eps |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| Outputs |
|---|
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 1 | eps |
| 82.4% | 1 | x |
| 82.4% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) x)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x)) eps) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
3 calls:
| 5.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 1 | eps |
| 69.8% | 1 | x |
| 69.8% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5e-323 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 1754 |
| 1 | 219 | 1754 |
| 2 | 229 | 1754 |
| 3 | 242 | 1754 |
| 4 | 253 | 1754 |
| 5 | 260 | 1754 |
| 6 | 264 | 1754 |
| 7 | 265 | 1754 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) 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 -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) 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 -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 #s(approx (+ (* (* (* 10 (* eps eps)) (+ eps x)) x) (* (pow eps 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) x) (+.f64 eps x))) 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 -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (-.f64 (pow.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 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 -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) eps) x))) x) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x)) (*.f64 x x)) x) x)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 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)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (* (* (* x x) 10) (+ eps x)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) x)) (*.f64 eps eps)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 1712 |
| 1 | 1413 | 1580 |
| 2 | 5019 | 1419 |
| 0 | 8254 | 1332 |
| 0 | 414 | 1787 |
| 1 | 1469 | 1655 |
| 2 | 5209 | 1490 |
| 0 | 8355 | 1401 |
| 0 | 443 | 1916 |
| 1 | 1485 | 1760 |
| 2 | 5176 | 1538 |
| 0 | 8272 | 1443 |
| 0 | 245 | 959 |
| 1 | 817 | 859 |
| 2 | 2844 | 712 |
| 0 | 8380 | 666 |
| 0 | 69 | 458 |
| 0 | 100 | 458 |
| 1 | 387 | 449 |
| 2 | 3000 | 443 |
| 0 | 8728 | 436 |
| 0 | 70 | 529 |
| 0 | 101 | 521 |
| 1 | 398 | 492 |
| 2 | 2931 | 492 |
| 0 | 8622 | 485 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 374 to 676 computations (71.5% saved)
Compiled 3 526 to 352 computations (90% saved)
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