
Time bar (total: 7.8s)
| 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)
| 736.0ms | 6 726× | 0 | valid |
| 233.0ms | 1 244× | 1 | valid |
| 106.0ms | 286× | 2 | valid |
ival-pow: 427.0ms (49.7% of total)ival-<=: 204.0ms (23.8% of total)ival-add: 77.0ms (9% of total)adjust: 55.0ms (6.4% of total)ival-sub: 51.0ms (5.9% of total)ival-and: 21.0ms (2.4% of total)exact: 20.0ms (2.3% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 36 | 28 | (2.0921073208310337e-34 -6.42242152595032e-219) | 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 | 64 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 0 |
| - | 28 | 192 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 0 |
| - | 28 | 0 | 192 |
| number | freq |
|---|---|
| 0 | 192 |
| 1 | 64 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 394× | 0 | valid |
| 22.0ms | 96× | 1 | valid |
| 5.0ms | 22× | 2 | valid |
Compiled 105 to 45 computations (57.1% saved)
ival-pow: 29.0ms (72.6% of total)adjust: 4.0ms (10% of total)ival-add: 4.0ms (10% of total)ival-sub: 3.0ms (7.5% of total)ival-true: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 39 | 49 |
| 2 | 87 | 47 |
| 3 | 163 | 47 |
| 4 | 290 | 47 |
| 5 | 425 | 47 |
| 6 | 514 | 47 |
| 7 | 558 | 47 |
| 8 | 603 | 47 |
| 9 | 618 | 47 |
| 10 | 626 | 47 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 14 | 9 |
| 2 | 19 | 9 |
| 3 | 25 | 9 |
| 4 | 33 | 9 |
| 5 | 48 | 9 |
| 6 | 81 | 9 |
| 7 | 106 | 9 |
| 8 | 149 | 9 |
| 9 | 164 | 9 |
| 10 | 172 | 9 |
| 0 | 172 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.0% | (-.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 | (+.f64 x eps) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal 5 binary64)) | |
| accuracy | 0.014003759768442016 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 7.6778258508976345 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 18.0ms | 197× | 0 | valid |
| 7.0ms | 48× | 1 | valid |
| 2.0ms | 11× | 2 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-pow: 14.0ms (70.1% of total)adjust: 2.0ms (10% of total)ival-add: 2.0ms (10% of total)ival-sub: 2.0ms (10% 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 | |
|---|---|---|---|---|
| 5.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 959 |
| 1 | 817 | 859 |
| 2 | 2844 | 712 |
| 0 | 8380 | 666 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(pow x 5) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (*.f64 (/.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 eps x) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (/.f64 eps x))))) (pow.f64 x #s(literal 5 binary64))) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 (/.f64 eps x) x x) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 (/.f64 eps x) x x) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64))) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 (/.f64 x eps) eps eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 30 binary64)))) (fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 x #s(literal 20 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 30 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) (pow.f64 x #s(literal 20 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 30 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 45 binary64)) (pow.f64 x #s(literal 45 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 15 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 eps x) #s(literal 30 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 x x)))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 307 | 6 | 313 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 307 | 7 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.0% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 83.3% | #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)) | |
| ▶ | 83.3% | #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)) |
| ▶ | 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)) |
| ▶ | 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
| ▶ | 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
Compiled 301 to 213 computations (29.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| cost-diff | 6656 | (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)) | |
| 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 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 | (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 316 |
| 0 | 58 | 316 |
| 1 | 96 | 308 |
| 2 | 198 | 297 |
| 3 | 470 | 297 |
| 4 | 1083 | 297 |
| 5 | 1701 | 297 |
| 6 | 3134 | 297 |
| 7 | 6942 | 297 |
| 0 | 8657 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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)) |
(*.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) |
(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))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (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 (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 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) 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))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 eps x) (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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)) |
x |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) (*.f64 #s(literal 10 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) (*.f64 #s(literal 10 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) (*.f64 #s(literal 10 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
eps |
(*.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) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09603500976844201 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.109375 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 0.15588629138909577 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 10.647581419596762 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| accuracy | 0.03515625 | (*.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) | |
| accuracy | 0.09603500976844201 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.109375 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 10.77699608105592 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)) | |
| accuracy | 0.0625 | (*.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 | 0.16068636439884532 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 10.77699608105592 | #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 | 13.201059850062672 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.03515625 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.09603500976844201 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 11.058014372402168 | #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 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 8.214029271492329 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 73.0ms | 189× | 0 | valid |
| 45.0ms | 54× | 1 | valid |
| 9.0ms | 13× | 2 | valid |
Compiled 578 to 72 computations (87.5% saved)
ival-mult: 45.0ms (50.6% of total)ival-pow: 26.0ms (29.2% of total)ival-add: 7.0ms (7.9% of total)adjust: 6.0ms (6.7% of total)ival-div: 2.0ms (2.2% of total)ival-sub: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.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)) |
(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)) (*.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)) |
(*.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) |
(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))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
| 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 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
(* 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)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 (pow x 3)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (pow x 2)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* 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 (+ 5 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* -10 (pow eps 2)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* -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 (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* eps eps) -10) (* 10 (* x x))) |
| 5.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* eps eps) -10) (* 10 (* x x))) |
| 4.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* eps eps) -10) (* 10 (* x x))) |
| 4.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* eps eps) -10) (* 10 (* x x))) |
| 4.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* eps eps) -10) (* 10 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1345 |
| 1 | 1148 | 1243 |
| 2 | 3986 | 1086 |
| 0 | 8191 | 1023 |
| 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 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
(* 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)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 (pow x 3)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (pow x 2)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* 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 (+ 5 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* -10 (pow eps 2)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* -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 (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
| 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 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 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 (*.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))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 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)))) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(* 10 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) (+.f64 eps x)) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) x) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) eps) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) 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) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (+.f64 (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))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 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) |
(* (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))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 (/.f64 eps x) eps eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 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 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 (/.f64 eps x) eps eps) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 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 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) 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 (+ 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 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 eps x)) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) |
(* -10 (pow eps 2)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (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 10 binary64) x) (/.f64 #s(literal 5 binary64) eps)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.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 (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) eps) #s(literal 5 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) eps) #s(literal 5 binary64))) (*.f64 eps eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 #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 (pow.f64 eps #s(literal 5 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)) eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) x (/.f64 (fma.f64 #s(literal -5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 eps))) eps) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 255 |
| 0 | 58 | 255 |
| 1 | 201 | 247 |
| 2 | 1393 | 247 |
| 0 | 8282 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.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)) |
(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)) (*.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)) |
(*.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) |
(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))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 eps)) |
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(pow.f64 eps #s(literal 5 binary64)) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 5/2 binary64) (*.f64 (log.f64 eps) #s(literal 5/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal 5 binary64)) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #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)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 x (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 10 binary64)) (/.f64 eps (fma.f64 (*.f64 x x) eps (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (/.f64 eps #s(literal 10 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) eps (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64)))) eps) (pow.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1000 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 9 binary64)))) eps) (pow.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1000 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) |
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) |
(fma.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(+.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps)) |
(*.f64 (*.f64 #s(literal -10 binary64) eps) eps) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps (*.f64 #s(literal -10 binary64) eps)) |
(neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 10 binary64) x)) |
Compiled 23 611 to 2 355 computations (90% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 9 | 590 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 587 | 10 | 597 |
| Status | Accuracy | Program |
|---|---|---|
| 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) eps))) | |
| ✓ | 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 83.3% | #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)) |
| ▶ | 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
| ▶ | 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) | |
| ▶ | 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) | |
| ▶ | 70.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
Compiled 489 to 322 computations (34.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 6336 | (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 477 |
| 0 | 87 | 473 |
| 1 | 157 | 463 |
| 2 | 328 | 450 |
| 3 | 740 | 450 |
| 4 | 1327 | 450 |
| 5 | 1913 | 450 |
| 6 | 2871 | 450 |
| 7 | 3436 | 450 |
| 8 | 3694 | 450 |
| 9 | 3747 | 450 |
| 10 | 3970 | 447 |
| 11 | 4062 | 447 |
| 0 | 4062 | 443 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
(*.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) |
(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))) |
(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 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) |
x |
(fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 eps (+.f64 eps x)) |
eps |
(+.f64 eps x) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
#s(literal 10 binary64) |
eps |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
#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 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) x)) (*.f64 eps x))) |
(*.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) |
(*.f64 (fma.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) x)) (*.f64 eps x)) |
(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))) |
(*.f64 (fma.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) x)) x) |
(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 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
x |
(fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps) |
(*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
(fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 eps (+.f64 eps x)) |
(*.f64 (+.f64 eps x) eps) |
eps |
(+.f64 eps x) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
#s(literal 10 binary64) |
eps |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) | |
| accuracy | 0.0625 | (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) | |
| accuracy | 0.11003876953688403 | (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 10.77699608105592 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) | |
| accuracy | 0.09994125976844201 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) | |
| accuracy | 0.109375 | (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) | |
| accuracy | 0.24950263625105704 | (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) | |
| accuracy | 10.647581419596762 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) | |
| accuracy | 0.03515625 | (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) | |
| accuracy | 0.09375 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) | |
| accuracy | 0.146816259768442 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| accuracy | 11.058014372402168 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 #s(literal 10 binary64) x) x) | |
| accuracy | 10.647581419596762 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) | |
| accuracy | 18.21772664987846 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) | |
| accuracy | 0.09603500976844201 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.109375 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 0.1953125 | (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) | |
| accuracy | 10.633098406419634 | #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)) |
| 71.0ms | 173× | 0 | valid |
| 41.0ms | 63× | 1 | valid |
| 17.0ms | 20× | 2 | valid |
Compiled 849 to 108 computations (87.3% saved)
ival-mult: 56.0ms (55.1% of total)ival-pow: 21.0ms (20.7% of total)ival-add: 13.0ms (12.8% of total)adjust: 9.0ms (8.9% of total)ival-sub: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(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))) |
#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)) |
(*.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) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
| Outputs |
|---|
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 5 (* eps (pow x 4))) |
(pow x 2) |
(* 5 (pow x 2)) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 eps) |
(+ (* 5 x) (* 10 eps)) |
(* 10 (pow x 3)) |
(* 5 (pow x 4)) |
(* 10 (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 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 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | eps | @ | -inf | ((+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* x (+ (* 10 x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) 5)) eps) (* x x) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) eps) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 10 eps) (* 5 x)) (pow x 3)) eps) (* (+ (* 10 eps) (* 5 x)) (pow x 3)) (+ (* 10 eps) (* 5 x)) (* (pow x 3) 10) (* (pow x 4) 5) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* x x) (* (* x x) 5)) (* (* eps (+ eps x)) 10)) |
| 9.0ms | x | @ | inf | ((+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* x (+ (* 10 x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) 5)) eps) (* x x) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) eps) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 10 eps) (* 5 x)) (pow x 3)) eps) (* (+ (* 10 eps) (* 5 x)) (pow x 3)) (+ (* 10 eps) (* 5 x)) (* (pow x 3) 10) (* (pow x 4) 5) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* x x) (* (* x x) 5)) (* (* eps (+ eps x)) 10)) |
| 6.0ms | x | @ | -inf | ((+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* x (+ (* 10 x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) 5)) eps) (* x x) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) eps) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 10 eps) (* 5 x)) (pow x 3)) eps) (* (+ (* 10 eps) (* 5 x)) (pow x 3)) (+ (* 10 eps) (* 5 x)) (* (pow x 3) 10) (* (pow x 4) 5) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* x x) (* (* x x) 5)) (* (* eps (+ eps x)) 10)) |
| 4.0ms | x | @ | 0 | ((+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* x (+ (* 10 x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) 5)) eps) (* x x) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) eps) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 10 eps) (* 5 x)) (pow x 3)) eps) (* (+ (* 10 eps) (* 5 x)) (pow x 3)) (+ (* 10 eps) (* 5 x)) (* (pow x 3) 10) (* (pow x 4) 5) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* x x) (* (* x x) 5)) (* (* eps (+ eps x)) 10)) |
| 4.0ms | eps | @ | inf | ((+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* x (+ (* 10 x) (* 5 eps))) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* x (+ (* 10 x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (* (* x x) 5)) eps) (* x x) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) eps) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (* x x)) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* 10 eps) (* 5 x)) (pow x 3)) eps) (* (+ (* 10 eps) (* 5 x)) (pow x 3)) (+ (* 10 eps) (* 5 x)) (* (pow x 3) 10) (* (pow x 4) 5) (* (* 10 x) x) (* (* (* 10 x) x) eps) (* (* x x) (* (* x x) 5)) (* (* eps (+ eps x)) 10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 434 | 2033 |
| 1 | 1580 | 1890 |
| 2 | 5524 | 1707 |
| 0 | 8121 | 1597 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 5 (* eps (pow x 4))) |
(pow x 2) |
(* 5 (pow x 2)) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 eps) |
(+ (* 5 x) (* 10 eps)) |
(* 10 (pow x 3)) |
(* 5 (pow x 4)) |
(* 10 (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 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 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
| Outputs |
|---|
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) eps) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 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))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(*.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) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (+.f64 eps x))) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) 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) |
(* 5 (* eps x)) |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps) (+.f64 eps x)) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (+.f64 eps x)) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(pow x 2) |
(*.f64 x x) |
(* 5 (pow x 2)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) x) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) eps) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.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 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* 10 eps) |
(*.f64 #s(literal 10 binary64) eps) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
(* 10 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 5 binary64) x) (*.f64 eps (/.f64 eps x)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64))) (pow.f64 x #s(literal 3 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 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x) (*.f64 (*.f64 eps (/.f64 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 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (+.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x) (*.f64 (*.f64 eps (/.f64 eps x)) #s(literal 8 binary64))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (+.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (*.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x)) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) |
(* 10 (* eps x)) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(*.f64 (neg.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (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 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -10 binary64) (/.f64 eps x) #s(literal -5 binary64))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x)) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) 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 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 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 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(* eps (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) eps) |
(* (pow eps 2) (+ (* 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 x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) eps) eps) #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 x x) eps) eps) #s(literal 8 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x 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 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ (* 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 x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 3 binary64))) x) (*.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))) (pow.f64 eps #s(literal 4 binary64))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) eps) eps) #s(literal 5 binary64) (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64))) 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) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.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 (+ 10 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.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)) (*.f64 eps 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 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.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)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps))) (neg.f64 eps))) (pow.f64 eps #s(literal 4 binary64))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 eps))) eps) eps) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(*.f64 (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal -10 binary64) x)) eps)) eps) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -10 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 399 |
| 0 | 87 | 387 |
| 1 | 291 | 381 |
| 2 | 2020 | 373 |
| 0 | 8523 | 367 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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))) |
#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)) |
(*.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) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))))))))) |
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(*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) eps)) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 eps #s(literal 10 binary64)) (+.f64 eps x)) |
(*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 (+.f64 eps x) (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps (*.f64 (+.f64 eps x) #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) eps)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps x) #s(literal 10 binary64)) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps x)) (*.f64 #s(literal 10 binary64) (*.f64 eps x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 eps x)))))) |
(fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (*.f64 eps x))) |
(+.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps x) #s(literal 10 binary64))) |
(+.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 eps x))) |
Compiled 22 312 to 2 388 computations (89.3% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 12 | 522 |
| Fresh | 1 | 3 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 516 | 16 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) eps))) | |
| 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x)) eps)) | |
| 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) | |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| ▶ | 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
| 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) | |
| ▶ | 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x))) |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) | |
| ▶ | 70.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
| 70.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) | |
| 70.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) | |
| ▶ | 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
Compiled 857 to 556 computations (35.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) | |
| cost-diff | 320 | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 453 |
| 0 | 79 | 447 |
| 1 | 140 | 431 |
| 2 | 290 | 425 |
| 3 | 605 | 417 |
| 4 | 992 | 417 |
| 5 | 1664 | 417 |
| 6 | 2581 | 417 |
| 7 | 3339 | 417 |
| 8 | 4213 | 417 |
| 9 | 4448 | 417 |
| 10 | 4478 | 417 |
| 11 | 4523 | 417 |
| 12 | 4523 | 417 |
| 0 | 4523 | 411 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(+.f64 eps x) |
x |
#s(literal 10 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps))) |
x |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(*.f64 x x) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) eps) |
(*.f64 x x) |
x |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
(*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) |
(*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
eps |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) eps)) (*.f64 eps x))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (fma.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) eps)) (*.f64 eps x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (fma.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) eps)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(+.f64 eps x) |
x |
#s(literal 10 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) 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 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
x |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(*.f64 x x) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) eps) |
(*.f64 x x) |
x |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
eps |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) | |
| accuracy | 0.1328125 | (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) | |
| accuracy | 10.77699608105592 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) | |
| accuracy | 0.04296875 | (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x)) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) | |
| accuracy | 0.146816259768442 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| accuracy | 11.058014372402168 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x))) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 x x) eps) | |
| accuracy | 0.16651391555638312 | (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) | |
| accuracy | 10.647581419596762 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) | |
| accuracy | 18.21772664987846 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) | |
| accuracy | 0.03515625 | (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps))) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) | |
| accuracy | 0.146816259768442 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| accuracy | 11.058014372402168 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) | |
| accuracy | 0.12890625 | (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) | |
| accuracy | 0.16015625 | (*.f64 (+.f64 eps x) #s(literal 10 binary64)) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) | |
| accuracy | 10.633098406419634 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| 131.0ms | 174× | 0 | valid |
| 42.0ms | 62× | 1 | valid |
| 16.0ms | 20× | 2 | valid |
Compiled 801 to 101 computations (87.4% saved)
ival-mult: 51.0ms (45.2% of total)ival-pow: 38.0ms (33.7% of total)ival-add: 14.0ms (12.4% of total)adjust: 8.0ms (7.1% of total)ival-sub: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x))) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
(*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps) |
(*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) |
| 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)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* 5 (pow eps 2)) |
(+ (* 5 (pow eps 2)) (* 10 (* eps x))) |
(+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 2))) |
(* 5 (pow x 2)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(pow x 2) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 x) (* 10 eps))) |
(* 10 eps) |
(+ (* 5 x) (* 10 eps)) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 x))) |
(+ (* 10 eps) (* 10 x)) |
(* eps (pow x 2)) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* 10 x) |
(* x (+ 10 (* 10 (/ 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)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -10 eps) (* -5 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* 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 (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 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 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 2) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* eps (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) eps) (* (pow x 4) 5)) eps) (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) (* x (* x (* (* (* x x) 5) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) 5) eps) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) eps) 10) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (+ (* eps 10) (* 5 x)) (* x x)) x) eps) (* (+ (* eps 10) (* 5 x)) (* x x)) (+ (* eps 10) (* 5 x)) (* (* (+ eps x) 10) x) (* (+ eps x) 10) (* (* (* x x) eps) 10) (* (* x x) eps) (* (* (* (* x x) 5) eps) (* x x)) (* (* (+ (* eps 10) (* 5 x)) (* x x)) x)) |
| 16.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) eps) (* (pow x 4) 5)) eps) (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) (* x (* x (* (* (* x x) 5) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) 5) eps) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) eps) 10) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (+ (* eps 10) (* 5 x)) (* x x)) x) eps) (* (+ (* eps 10) (* 5 x)) (* x x)) (+ (* eps 10) (* 5 x)) (* (* (+ eps x) 10) x) (* (+ eps x) 10) (* (* (* x x) eps) 10) (* (* x x) eps) (* (* (* (* x x) 5) eps) (* x x)) (* (* (+ (* eps 10) (* 5 x)) (* x x)) x)) |
| 4.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) eps) (* (pow x 4) 5)) eps) (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) (* x (* x (* (* (* x x) 5) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) 5) eps) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) eps) 10) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (+ (* eps 10) (* 5 x)) (* x x)) x) eps) (* (+ (* eps 10) (* 5 x)) (* x x)) (+ (* eps 10) (* 5 x)) (* (* (+ eps x) 10) x) (* (+ eps x) 10) (* (* (* x x) eps) 10) (* (* x x) eps) (* (* (* (* x x) 5) eps) (* x x)) (* (* (+ (* eps 10) (* 5 x)) (* x x)) x)) |
| 4.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) eps) (* (pow x 4) 5)) eps) (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) (* x (* x (* (* (* x x) 5) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) 5) eps) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) eps) 10) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (+ (* eps 10) (* 5 x)) (* x x)) x) eps) (* (+ (* eps 10) (* 5 x)) (* x x)) (+ (* eps 10) (* 5 x)) (* (* (+ eps x) 10) x) (* (+ eps x) 10) (* (* (* x x) eps) 10) (* (* x x) eps) (* (* (* (* x x) 5) eps) (* x x)) (* (* (+ (* eps 10) (* 5 x)) (* x x)) x)) |
| 3.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) eps) (* (pow x 4) 5)) eps) (* (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) x) (+ (* (* 5 eps) eps) (* (* (+ eps x) 10) x)) (* x (* x (* (* (* x x) 5) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) 5) eps) (* (* x x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) eps) 10) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (+ (* eps 10) (* 5 x)) (* x x)) x) eps) (* (+ (* eps 10) (* 5 x)) (* x x)) (+ (* eps 10) (* 5 x)) (* (* (+ eps x) 10) x) (* (+ eps x) 10) (* (* (* x x) eps) 10) (* (* x x) eps) (* (* (* (* x x) 5) eps) (* x x)) (* (* (+ (* eps 10) (* 5 x)) (* x x)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 452 | 2101 |
| 1 | 1642 | 1966 |
| 2 | 5669 | 1783 |
| 0 | 8256 | 1668 |
| 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)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* 5 (pow eps 2)) |
(+ (* 5 (pow eps 2)) (* 10 (* eps x))) |
(+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 2))) |
(* 5 (pow x 2)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(pow x 2) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 x) (* 10 eps))) |
(* 10 eps) |
(+ (* 5 x) (* 10 eps)) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 x))) |
(+ (* 10 eps) (* 10 x)) |
(* eps (pow x 2)) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* 10 x) |
(* x (+ 10 (* 10 (/ 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)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -10 eps) (* -5 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* 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 (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 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 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 2) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* eps (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -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 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 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))) |
(+ (* 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 #s(literal 10 binary64) x) (*.f64 eps (*.f64 eps (+.f64 eps x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(*.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) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps (*.f64 eps (+.f64 eps x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) 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) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) x) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x) |
(* 5 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 5 binary64)) |
(+ (* 5 (pow eps 2)) (* 10 (* eps x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) |
(+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x)))) |
(fma.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* 5 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) |
(* 5 (pow x 2)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) x) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps) (+.f64 eps x)) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 eps x)) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) |
(* (pow x 2) (+ (* 5 x) (* 10 eps))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) |
(* 10 eps) |
(*.f64 #s(literal 10 binary64) eps) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
(* 10 (* eps x)) |
(*.f64 (*.f64 eps x) #s(literal 10 binary64)) |
(* x (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 x (+.f64 eps x)) #s(literal 10 binary64)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(* eps (pow x 2)) |
(*.f64 (*.f64 x x) eps) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 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 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
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(* -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 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64) (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 eps))) eps) eps) |
(* -1 (* eps (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 5 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -10 binary64))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64)) eps) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 367 |
| 0 | 79 | 361 |
| 1 | 253 | 339 |
| 2 | 1618 | 339 |
| 0 | 8352 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x))) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
(*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps) |
(*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 eps (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps) (-.f64 (*.f64 (*.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 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) (-.f64 (*.f64 (*.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 (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps) #s(literal 3 binary64))) (fma.f64 (*.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 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) #s(literal 3 binary64))) (fma.f64 (*.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 (*.f64 (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) eps)) (neg.f64 (fma.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x))) x (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))))) (neg.f64 (fma.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x))) x (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) eps) (fma.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x))) x (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 3 binary64))) eps) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 2 binary64)))) |
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)))) (fma.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x))) x (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 eps (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64))) eps (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps)) |
(fma.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64))) eps (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 eps x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 eps x) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps)) |
(fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)) eps) x (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps))) |
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(*.f64 (*.f64 x x) eps) |
(*.f64 eps (*.f64 x x)) |
(*.f64 x (*.f64 eps x)) |
(*.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)) (*.f64 eps x)) |
(*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)) eps) x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #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)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps))) |
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) eps))) |
(*.f64 x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) x) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) |
(*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 100 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) eps)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal -5 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 100 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) x) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) eps))))) |
Compiled 17 722 to 2 209 computations (87.5% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 428 | 6 | 434 |
| Fresh | 4 | 6 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 435 | 15 | 450 |
| Status | Accuracy | Program |
|---|---|---|
| 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps))) | |
| ✓ | 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) eps))) | |
| 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) (*.f64 eps x)))) | |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps))) | |
| 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x)) eps)) | |
| 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) | |
| 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 (*.f64 x x) eps))) | |
| ✓ | 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x))) |
| 82.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)) | |
| ✓ | 70.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
| 70.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) | |
| 70.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) | |
| 82.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
Compiled 1 338 to 471 computations (64.8% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) 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 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) 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 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.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 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) (*.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.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 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #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 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.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 #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)) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) eps (pow.f64 x #s(literal 3 binary64)))) eps) 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)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
3 calls:
| 11.0ms | eps |
| 10.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
| 96.8% | 3 | eps |
| 99.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) 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 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) 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 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.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 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) (*.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.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 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) 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 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) 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 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.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 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) (*.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
3 calls:
| 12.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 6.0ms | x |
| 6.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.3% | 1 | eps |
| 83.3% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.3% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) 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 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) 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 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.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 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) (*.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) |
3 calls:
| 6.0ms | x |
| 5.0ms | eps |
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.3% | 1 | x |
| 83.3% | 1 | eps |
| 83.3% | 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)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) 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 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) 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 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.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 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) (*.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) (*.f64 x x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
3 calls:
| 29.0ms | 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 |
|---|---|---|
| 83.1% | 1 | x |
| 83.1% | 1 | eps |
| 83.1% | 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)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) 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 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) 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 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.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 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) |
3 calls:
| 4.0ms | x |
| 4.0ms | eps |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 1 | x |
| 83.1% | 1 | eps |
| 83.1% | 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)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) 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 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) 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 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.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)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
3 calls:
| 4.0ms | x |
| 4.0ms | eps |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | x |
| 82.7% | 1 | eps |
| 82.7% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
Total -7.7b remaining (-69.2%)
Threshold costs -7.7b (-69.2%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) 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 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) 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 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
3 calls:
| 54.0ms | eps |
| 4.0ms | x |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 1 | x |
| 82.6% | 1 | eps |
| 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)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.606705321657101e-82 | 3.940118154322931e-79 |
| 17.0ms | -4.170829948370266e-55 | -7.782630468621454e-56 |
| 11.0ms | 68× | 1 | valid |
| 9.0ms | 156× | 0 | valid |
Compiled 656 to 474 computations (27.7% saved)
ival-pow: 9.0ms (61.4% of total)adjust: 2.0ms (13.6% of total)ival-add: 2.0ms (13.6% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.606705321657101e-82 | 3.940118154322931e-79 |
| 1.0ms | -4.170829948370266e-55 | -7.782630468621454e-56 |
Compiled 652 to 448 computations (31.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 329 |
| 1 | 108 | 329 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -4693187515817583/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) (if (<=.f64 x #s(literal 6508085500071523/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)))) |
(if (<=.f64 x #s(literal -4693187515817583/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps))) (if (<=.f64 x #s(literal 6508085500071523/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -4693187515817583/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) (if (<=.f64 x #s(literal 6508085500071523/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)))) |
(if (<=.f64 x #s(literal -4693187515817583/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) (if (<=.f64 x #s(literal 6508085500071523/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)))) |
(if (<=.f64 x #s(literal -4693187515817583/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps))) (if (<=.f64 x #s(literal 6508085500071523/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)))) |
(if (<=.f64 x #s(literal -4693187515817583/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x)) x) eps) eps))) (if (<=.f64 x #s(literal 6508085500071523/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) #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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* eps 10) (* 5 x)) (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 399 |
| 0 | 87 | 387 |
| 1 | 291 | 381 |
| 2 | 2020 | 373 |
| 0 | 8523 | 367 |
| 0 | 452 | 2101 |
| 1 | 1642 | 1966 |
| 2 | 5669 | 1783 |
| 0 | 8256 | 1668 |
| 0 | 434 | 2033 |
| 1 | 1580 | 1890 |
| 2 | 5524 | 1707 |
| 0 | 8121 | 1597 |
| 0 | 51 | 367 |
| 0 | 79 | 361 |
| 1 | 253 | 339 |
| 2 | 1618 | 339 |
| 0 | 8352 | 333 |
| 0 | 245 | 959 |
| 1 | 817 | 859 |
| 2 | 2844 | 712 |
| 0 | 8380 | 666 |
| 0 | 35 | 255 |
| 0 | 58 | 255 |
| 1 | 201 | 247 |
| 2 | 1393 | 247 |
| 0 | 8282 | 243 |
| 0 | 323 | 1345 |
| 1 | 1148 | 1243 |
| 2 | 3986 | 1086 |
| 0 | 8191 | 1023 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 524 to 237 computations (54.8% saved)
Compiled 676 to 160 computations (76.3% saved)
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