
Time bar (total: 7.3s)
| 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)
| 886.0ms | 6 590× | 0 | valid |
| 393.0ms | 1 326× | 1 | valid |
| 129.0ms | 340× | 2 | valid |
ival-pow: 476.0ms (44.9% of total)ival-<=: 191.0ms (18% of total)ival-add: 127.0ms (12% of total)adjust: 119.0ms (11.2% of total)ival-sub: 99.0ms (9.3% of total)ival-and: 23.0ms (2.2% of total)exact: 21.0ms (2% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 38 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | cancellation | 38 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 38 | 0 |
| - | 0 | 218 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 38 | 0 | 0 |
| - | 0 | 0 | 218 |
| number | freq |
|---|---|
| 0 | 218 |
| 1 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 406× | 0 | valid |
| 14.0ms | 84× | 1 | valid |
| 5.0ms | 22× | 2 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-pow: 20.0ms (59.8% of total)adjust: 5.0ms (15% of total)ival-add: 4.0ms (12% of total)ival-sub: 3.0ms (9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 53 |
| 1 | 22 | 53 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 12 | 9 |
| 0 | 12 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 5 binary64)) | |
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 0 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 12 | 23 |
| 0 | 12 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 5 binary64)) | |
| accuracy | 0.0 | (+.f64 x eps) | |
| accuracy | 0.030292529305326048 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 8.509744595913888 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 15.0ms | 203× | 0 | valid |
| 12.0ms | 42× | 1 | valid |
| 3.0ms | 11× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 10.0ms (58.4% of total)adjust: 3.0ms (17.5% of total)ival-add: 2.0ms (11.7% of total)ival-sub: 2.0ms (11.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(pow x 5) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 963 |
| 1 | 900 | 862 |
| 2 | 4107 | 822 |
| 0 | 8224 | 753 |
| 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 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 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 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
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 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) 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) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))) |
(* (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 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(* (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) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (*.f64 #s(literal 5 binary64) eps)) x)) (pow.f64 x #s(literal 5 binary64))) |
(* (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 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) eps)) x)) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) eps) x) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 5 binary64))) |
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 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) eps (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) eps (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) x))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 eps x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 4 binary64))) x)) (neg.f64 x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) eps) eps (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x))) x)) (neg.f64 x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(+ (* 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(* (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) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(* (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 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 (*.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 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -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 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 50 | 20 |
| 0 | 350 | 20 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))) |
(fma.f64 (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))) |
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) (/.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #s(literal 5 binary64)) |
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(+.f64 eps x) |
(+.f64 x eps) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 5 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))) |
Compiled 1 796 to 370 computations (79.4% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 9 | 75 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 66 | 10 | 76 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 69.9% | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 85.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
| ▶ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 79.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| ▶ | 85.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 76.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 79.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| 78.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| ▶ | 76.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
Compiled 443 to 299 computations (32.5% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 eps x) | |
| cost-diff | 0 | (*.f64 (+.f64 eps x) (+.f64 eps x)) | |
| cost-diff | 0 | (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 1 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) | |
| cost-diff | 2 | (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) | |
| cost-diff | 5 | (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 x eps) | |
| cost-diff | 0 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 323 |
| 0 | 63 | 323 |
| 1 | 112 | 283 |
| 2 | 284 | 283 |
| 3 | 876 | 283 |
| 4 | 3085 | 272 |
| 0 | 8120 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
x |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps) |
(fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) |
#s(literal 6 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
eps |
(neg.f64 eps) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) |
(*.f64 (+.f64 eps x) (+.f64 eps x)) |
(+.f64 eps x) |
eps |
x |
#s(literal 5/2 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
x |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64))) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64))) #s(literal 1 binary64))) |
(neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) |
(neg.f64 (-.f64 (*.f64 (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) |
(*.f64 (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) |
(*.f64 x (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64))) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps) |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps) |
(fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 6 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
eps |
(neg.f64 eps) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) |
(*.f64 (+.f64 eps x) (+.f64 eps x)) |
(+.f64 eps x) |
eps |
x |
#s(literal 5/2 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 eps x) | |
| accuracy | 0.02734375 | (*.f64 (+.f64 eps x) (+.f64 eps x)) | |
| accuracy | 0.2848625488422101 | (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) | |
| accuracy | 4.664887846084806 | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| accuracy | 0.19140625 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) | |
| accuracy | 9.117059403700662 | (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 9.184472036720408 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 13.942244564880736 | (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps) | |
| accuracy | 0.0 | (/.f64 x eps) | |
| accuracy | 0.1328125 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.5341335415469847 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 9.321670592600633 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 9.598231051229936 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.00390625 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.06869125976844201 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.11393797190493686 | (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 9.321670592600633 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
| 60.0ms | 192× | 0 | valid |
| 35.0ms | 52× | 1 | valid |
| 11.0ms | 12× | 2 | valid |
Compiled 288 to 38 computations (86.8% saved)
ival-pow: 27.0ms (32.4% of total)ival-mult: 18.0ms (21.6% of total)adjust: 11.0ms (13.2% of total)ival-add: 9.0ms (10.8% of total)ival-div: 8.0ms (9.6% of total)ival-sub: 7.0ms (8.4% of total)ival-neg: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
(fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) |
(*.f64 (+.f64 eps x) (+.f64 eps x)) |
(+.f64 eps x) |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 10 (pow x 2)) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* -5 (/ x eps)) |
(* x (- (* -10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
eps |
(+ eps x) |
(* 10 (/ (pow x 2) eps)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* -10 (/ (pow x 2) (pow eps 2))) |
(* -1 (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
x |
(* x (+ 1 (/ eps x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* (pow x 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))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ (* 4 (pow x 2)) (* 6 (pow x 2))) eps) |
(/ (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2)))) eps) |
(* -1 (/ (+ (* 4 (pow x 2)) (* 6 (pow x 2))) (pow eps 2))) |
(/ (+ (* -5 (* eps x)) (* -1 (+ (* 4 (pow x 2)) (* 6 (pow x 2))))) (pow eps 2)) |
(+ (* 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)) |
(+ (* 2 (* eps x)) (pow x 2)) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (* 6 (pow x 2)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2))))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 6 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) |
(/ (+ (* -5 x) (* -1 (/ (+ (* 4 (pow x 2)) (* 6 (pow x 2))) eps))) eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(* eps (+ 1 (/ x eps))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 6 (/ (pow x 2) (pow eps 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 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* x x)) (* (* x x) 4)) (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (* (+ eps x) (+ eps x)) 5/2) (pow x 5)) (pow (* (+ eps x) (+ eps x)) 5/2) (* (+ eps x) (+ eps x)) (+ eps x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5))) |
| 6.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* x x)) (* (* x x) 4)) (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (* (+ eps x) (+ eps x)) 5/2) (pow x 5)) (pow (* (+ eps x) (+ eps x)) 5/2) (* (+ eps x) (+ eps x)) (+ eps x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5))) |
| 5.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* x x)) (* (* x x) 4)) (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (* (+ eps x) (+ eps x)) 5/2) (pow x 5)) (pow (* (+ eps x) (+ eps x)) 5/2) (* (+ eps x) (+ eps x)) (+ eps x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5))) |
| 4.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* x x)) (* (* x x) 4)) (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (* (+ eps x) (+ eps x)) 5/2) (pow x 5)) (pow (* (+ eps x) (+ eps x)) 5/2) (* (+ eps x) (+ eps x)) (+ eps x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5))) |
| 4.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 6 (* x x)) (* (* x x) 4)) (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (* (+ eps x) (+ eps x)) 5/2) (pow x 5)) (pow (* (+ eps x) (+ eps x)) 5/2) (* (+ eps x) (+ eps x)) (+ eps x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 396 | 1614 |
| 1 | 1458 | 1386 |
| 2 | 6602 | 1336 |
| 0 | 8411 | 1240 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 10 (pow x 2)) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* -5 (/ x eps)) |
(* x (- (* -10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
eps |
(+ eps x) |
(* 10 (/ (pow x 2) eps)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* -10 (/ (pow x 2) (pow eps 2))) |
(* -1 (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
x |
(* x (+ 1 (/ eps x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* (pow x 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))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ (* 4 (pow x 2)) (* 6 (pow x 2))) eps) |
(/ (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2)))) eps) |
(* -1 (/ (+ (* 4 (pow x 2)) (* 6 (pow x 2))) (pow eps 2))) |
(/ (+ (* -5 (* eps x)) (* -1 (+ (* 4 (pow x 2)) (* 6 (pow x 2))))) (pow eps 2)) |
(+ (* 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)) |
(+ (* 2 (* eps x)) (pow x 2)) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (* 6 (pow x 2)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2))))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 6 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) |
(/ (+ (* -5 x) (* -1 (/ (+ (* 4 (pow x 2)) (* 6 (pow x 2))) eps))) eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(* eps (+ 1 (/ x eps))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 6 (/ (pow x 2) (pow eps 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 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) 1))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) x)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/ x eps) |
(/.f64 x eps) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(* -5 (/ x eps)) |
(*.f64 #s(literal -5 binary64) (/.f64 x eps)) |
(* x (- (* -10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -5 binary64)) eps) x) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps)) |
eps |
(+ eps x) |
(+.f64 eps x) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(* (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 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) 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) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal -5 binary64) x)) x) x) |
(* -10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal -10 binary64)) |
(* -1 (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal -5 binary64) x)) eps)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (*.f64 #s(literal 5 binary64) eps)) x)) (pow.f64 x #s(literal 5 binary64))) |
(* (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 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) eps)) x)) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) eps) x) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 5 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) eps x) x) x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x) #s(literal 1 binary64)) x) x) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 (/.f64 eps x) 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) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) (*.f64 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 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 eps #s(literal 3 binary64))) x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 eps x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (neg.f64 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 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 eps #s(literal 3 binary64))) x))) (neg.f64 x))) (neg.f64 x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (*.f64 eps eps) x)) x) #s(literal 1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) 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 (fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x x) (fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps (fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(/ (+ eps (* 5 x)) eps) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/ (+ (* 4 (pow x 2)) (* 6 (pow x 2))) eps) |
(*.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64)) |
(/ (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2)))) eps) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) |
(* -1 (/ (+ (* 4 (pow x 2)) (* 6 (pow x 2))) (pow eps 2))) |
(*.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal -10 binary64)) |
(/ (+ (* -5 (* eps x)) (* -1 (+ (* 4 (pow x 2)) (* 6 (pow x 2))))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps x) #s(literal -5 binary64) (*.f64 #s(literal -10 binary64) (*.f64 x x))) eps) 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 (fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* 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 eps #s(literal 10 binary64)) (*.f64 x x) (fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* 2 (* eps x)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps)) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (* 6 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) #s(literal 10 binary64)) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 6 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(* (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 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps)) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(/ (+ (* -5 x) (* -1 (/ (+ (* 4 (pow x 2)) (* 6 (pow x 2))) eps))) eps) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) eps) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x (/.f64 x eps))) eps) #s(literal 1 binary64)) eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 6 (/ (pow x 2) (pow eps 2))))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 (*.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 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 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 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (neg.f64 eps))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x (/.f64 x eps))) eps) #s(literal 1 binary64)) eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) 1))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 240 |
| 0 | 63 | 230 |
| 1 | 256 | 200 |
| 2 | 1949 | 200 |
| 0 | 8552 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
(fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) |
(*.f64 (+.f64 eps x) (+.f64 eps x)) |
(+.f64 eps x) |
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 10 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) (*.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) (pow.f64 eps #s(literal 15 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64)))) (neg.f64 (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))) (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64)))) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (fabs.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64)))) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (fabs.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (fabs.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 (fabs.f64 eps) #s(literal 5/2 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 5/2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 eps) #s(literal 5/2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64))) (neg.f64 (pow.f64 eps #s(literal 5/2 binary64))) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) (fabs.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 x (fabs.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) |
(-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)))) |
(-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) |
(-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 5 binary64) x))) |
(-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) (/.f64 (pow.f64 eps #s(literal 15 binary64)) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 (*.f64 eps eps)))) |
(*.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 (*.f64 eps eps))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 eps)) |
(pow.f64 (neg.f64 (*.f64 eps eps)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
(/.f64 (pow.f64 eps #s(literal 12 binary64)) (pow.f64 eps #s(literal 8 binary64))) |
(fabs.f64 (pow.f64 eps #s(literal 4 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64))))) |
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 5/2 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 eps) #s(literal 5/2 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 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64))) (neg.f64 (pow.f64 eps #s(literal 5/2 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 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/4 binary64)) |
(pow.f64 eps #s(literal 5 binary64)) |
(/.f64 (pow.f64 eps #s(literal 15 binary64)) (pow.f64 eps #s(literal 10 binary64))) |
(sqrt.f64 (pow.f64 eps #s(literal 10 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(fabs.f64 (pow.f64 eps #s(literal 5 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 5/2 binary64) (*.f64 (log.f64 eps) #s(literal 5/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) |
(neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (neg.f64 eps))) |
(fma.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 x eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) eps)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) |
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) eps)) |
(fma.f64 x (/.f64 (*.f64 #s(literal 4 binary64) x) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) eps)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) eps)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) |
(*.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (neg.f64 eps)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (neg.f64 eps)) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (neg.f64 eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
Compiled 30 940 to 4 383 computations (85.8% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 920 | 9 | 929 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 924 | 15 | 939 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 69.9% | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 69.9% | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) #s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| 85.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) | |
| ✓ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 79.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x x) (fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| ✓ | 85.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| ▶ | 85.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| 78.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 eps #s(literal 3 binary64))) x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 79.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
| 78.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| ▶ | 76.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) |
| ▶ | 65.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
| ▶ | 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
| 76.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
Compiled 737 to 492 computations (33.2% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 1 | (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) | |
| cost-diff | 2 | (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 440 |
| 0 | 92 | 440 |
| 1 | 165 | 428 |
| 2 | 440 | 413 |
| 3 | 1578 | 412 |
| 4 | 7185 | 412 |
| 0 | 8092 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x x) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))) |
(+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) |
(fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) |
#s(literal 4 binary64) |
eps |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))) |
(neg.f64 (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) |
(neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) |
#s(literal 10 binary64) |
(/.f64 x eps) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 4 binary64)) eps))) |
(*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 4 binary64)) eps)) |
(+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) |
(fma.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 4 binary64)) eps) |
(fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) |
(*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 4 binary64))) |
#s(literal 4 binary64) |
eps |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -5 binary64)) eps) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -5 binary64)) eps) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(neg.f64 (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -5 binary64)) eps) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) |
(*.f64 (/.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -5 binary64)) eps) x) |
(neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -5 binary64)) x) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) |
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) |
(fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) |
#s(literal 10 binary64) |
(/.f64 x eps) |
x |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1875 | (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) | |
| accuracy | 0.19140625 | (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) | |
| accuracy | 9.117059403700662 | (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))) | |
| accuracy | 9.184472036720408 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) | |
| accuracy | 0.16495632300974952 | (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) | |
| accuracy | 0.285962210835977 | (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 13.35378280307338 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 13.495684277927579 | (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) | |
| accuracy | 0.0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| accuracy | 0.00390625 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.14518797190493687 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 9.321670592600633 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| accuracy | 0.06869125976844201 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.12175047190493686 | (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) | |
| accuracy | 9.321670592600633 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) | |
| accuracy | 13.371292962367065 | #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) | |
| accuracy | 0.10546875 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) | |
| accuracy | 0.14807379138909577 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 9.184472036720408 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
| 126.0ms | 182× | 0 | valid |
| 60.0ms | 58× | 1 | valid |
| 17.0ms | 16× | 2 | valid |
Compiled 325 to 55 computations (83.1% saved)
ival-pow: 57.0ms (33.3% of total)ival-add: 35.0ms (20.5% of total)ival-mult: 32.0ms (18.7% of total)adjust: 26.0ms (15.2% of total)ival-div: 11.0ms (6.4% of total)ival-neg: 5.0ms (2.9% of total)ival-sub: 5.0ms (2.9% of total)exact: 1.0ms (0.6% 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)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(pow.f64 eps #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) |
(+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))) |
(neg.f64 (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) 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)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(pow eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
(* 5 (* (pow eps 4) x)) |
eps |
(+ eps (* 5 x)) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* -5 x) |
(* x (- (* -10 (/ x eps)) 5)) |
(* 10 (pow x 2)) |
(* -5 (/ x eps)) |
(* x (- (* -10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ 5 (/ eps x))) |
(* 4 eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* -10 (/ (pow x 2) eps)) |
(* -1 (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))) |
(* -10 (/ (pow x 2) (pow eps 2))) |
(* -1 (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 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 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (* 6 (pow x 2)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2))))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 6 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(/ (- (* -5 (* eps x)) (* 10 (pow x 2))) eps) |
(* -1 (pow eps 5)) |
(* 10 (pow eps 2)) |
(/ (+ (* -10 (pow x 2)) (* -5 (* eps x))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 6 (/ (pow x 2) (pow eps 2))))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(- (* -10 (/ (pow x 2) eps)) (* 5 x)) |
(/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (* (pow eps 4) 5) x) (* (pow eps 4) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (pow x 4)) (neg (* (+ (* 10 (/ x eps)) 5) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (pow eps 5)) (- (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) 1)) (neg (pow eps 5)) (* (* x x) 10) (/ (* 10 (* eps eps)) x) (* 10 (* eps eps)) (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (* (+ (* 10 (/ x eps)) 5) x)) |
| 10.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (* (pow eps 4) 5) x) (* (pow eps 4) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (pow x 4)) (neg (* (+ (* 10 (/ x eps)) 5) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (pow eps 5)) (- (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) 1)) (neg (pow eps 5)) (* (* x x) 10) (/ (* 10 (* eps eps)) x) (* 10 (* eps eps)) (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (* (+ (* 10 (/ x eps)) 5) x)) |
| 5.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (* (pow eps 4) 5) x) (* (pow eps 4) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (pow x 4)) (neg (* (+ (* 10 (/ x eps)) 5) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (pow eps 5)) (- (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) 1)) (neg (pow eps 5)) (* (* x x) 10) (/ (* 10 (* eps eps)) x) (* 10 (* eps eps)) (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (* (+ (* 10 (/ x eps)) 5) x)) |
| 5.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (* (pow eps 4) 5) x) (* (pow eps 4) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (pow x 4)) (neg (* (+ (* 10 (/ x eps)) 5) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (pow eps 5)) (- (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) 1)) (neg (pow eps 5)) (* (* x x) 10) (/ (* 10 (* eps eps)) x) (* 10 (* eps eps)) (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (* (+ (* 10 (/ x eps)) 5) x)) |
| 5.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (* (pow eps 4) 5) x) (* (pow eps 4) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (pow x 4)) (neg (* (+ (* 10 (/ x eps)) 5) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (pow eps 5)) (- (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) 1)) (neg (pow eps 5)) (* (* x x) 10) (/ (* 10 (* eps eps)) x) (* 10 (* eps eps)) (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (* (+ (* 10 (/ x eps)) 5) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 1659 |
| 1 | 1470 | 1388 |
| 2 | 6982 | 1344 |
| 0 | 8619 | 1254 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(pow eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
(* 5 (* (pow eps 4) x)) |
eps |
(+ eps (* 5 x)) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* -5 x) |
(* x (- (* -10 (/ x eps)) 5)) |
(* 10 (pow x 2)) |
(* -5 (/ x eps)) |
(* x (- (* -10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ 5 (/ eps x))) |
(* 4 eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* -10 (/ (pow x 2) eps)) |
(* -1 (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))) |
(* -10 (/ (pow x 2) (pow eps 2))) |
(* -1 (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 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 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (* 6 (pow x 2)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2))))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 6 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(/ (- (* -5 (* eps x)) (* 10 (pow x 2))) eps) |
(* -1 (pow eps 5)) |
(* 10 (pow eps 2)) |
(/ (+ (* -10 (pow x 2)) (* -5 (* eps x))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 6 (/ (pow x 2) (pow eps 2))))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(- (* -10 (/ (pow x 2) eps)) (* 5 x)) |
(/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 eps eps)) #s(literal 10 binary64) (*.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))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
eps |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/.f64 (fma.f64 (*.f64 eps x) #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) 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) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* -5 x) |
(*.f64 #s(literal -5 binary64) x) |
(* x (- (* -10 (/ x eps)) 5)) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64)) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* -5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal -5 binary64)) |
(* x (- (* -10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64)) eps) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) 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) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(* 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) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 eps (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) x) #s(literal -10 binary64)) (*.f64 x x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* x (+ 5 (/ eps x))) |
(*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x) |
(* 4 eps) |
(*.f64 #s(literal 4 binary64) eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(+ eps (* 4 eps)) |
(*.f64 #s(literal 5 binary64) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* -10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64)) |
(* -1 (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))))) |
(*.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal -5 binary64) x))) |
(* -10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal -10 binary64)) |
(* -1 (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal -5 binary64) x)) eps)) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal -5 binary64) x)) (*.f64 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 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 eps #s(literal 3 binary64))) x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) x) x) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 eps (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) x) #s(literal -10 binary64)) (*.f64 x x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -5 binary64))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) 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 eps 3) (+ (* 4 (pow x 2)) (* 6 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) #s(literal 10 binary64)) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 6 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(* 5 eps) |
(*.f64 #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) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(/ (- (* -5 (* eps x)) (* 10 (pow x 2))) eps) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal -10 binary64))) eps) |
(* -1 (pow eps 5)) |
(neg.f64 (pow.f64 eps #s(literal 5 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(/ (+ (* -10 (pow x 2)) (* -5 (* eps x))) (pow eps 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) eps) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(* (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 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps)) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 6 (/ (pow x 2) (pow eps 2))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps) eps) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) #s(literal 1 binary64)) eps) eps) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) eps) (/.f64 #s(literal -10 binary64) x)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal -5 binary64) eps)) eps) eps) |
(* (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) |
(- (* -10 (/ (pow x 2) eps)) (* 5 x)) |
(fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) |
(/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps) |
(/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) (neg.f64 eps)) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (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 (fma.f64 #s(literal -6 binary64) (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 (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 #s(literal -4 binary64) x) x (fma.f64 (*.f64 #s(literal -6 binary64) x) x (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))) eps))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) 1))) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) #s(literal 1 binary64)) eps) eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) |
(* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) |
(/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) (neg.f64 eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 374 |
| 0 | 93 | 374 |
| 1 | 345 | 362 |
| 2 | 2731 | 356 |
| 0 | 9598 | 349 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(pow.f64 eps #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) |
(+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))) |
(neg.f64 (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
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(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 4 binary64) x)) (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x))) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 x x))) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal 4 binary64) x))) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 6 binary64) x)) (*.f64 #s(literal -4 binary64) (*.f64 x x))) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 6 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 4 binary64) x))) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 6 binary64) x)) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(fma.f64 x (*.f64 #s(literal 4 binary64) x) (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x))) |
(fma.f64 x (*.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) |
(fma.f64 x (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 #s(literal 6 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 4 binary64) x))) |
(fma.f64 x (*.f64 #s(literal 6 binary64) x) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(sqrt.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 (neg.f64 (*.f64 #s(literal 6 binary64) x)) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 #s(literal -6 binary64) (*.f64 x x))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) |
(-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 4 binary64) x))) |
(-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(fabs.f64 (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 6 binary64) x)) x) (*.f64 (*.f64 #s(literal 4 binary64) x) x))) |
(fabs.f64 (-.f64 (*.f64 #s(literal -6 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) x) x))) |
(fabs.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 6 binary64) x) x))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 #s(literal 6 binary64) x) x))) |
(fabs.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x))) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x))) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(hypot.f64 (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x)) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(hypot.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 #s(literal 10 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
(+.f64 (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x)) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 4 binary64) x))) |
(+.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) (*.f64 (*.f64 #s(literal 4 binary64) x) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x)) |
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x)) |
(*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x)) |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x) |
(neg.f64 (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) |
(*.f64 (*.f64 #s(literal 10 binary64) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (neg.f64 (*.f64 #s(literal 10 binary64) eps)) eps) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (neg.f64 eps)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) eps) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 10 binary64))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) eps)) |
(neg.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64))) (/.f64 x eps)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) (/.f64 (neg.f64 x) eps)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) (/.f64 (neg.f64 x) eps)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) (/.f64 (neg.f64 x) eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 1 binary64)) (neg.f64 eps)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64))) #s(literal 1 binary64)) eps) |
(/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) (neg.f64 eps)) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64))) eps) |
(neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps)) |
(*.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)))) x) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64))) (neg.f64 x)) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) (neg.f64 (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) |
(*.f64 x (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) #s(literal -25 binary64)) x) (-.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 5 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) x) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) #s(literal 50 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) #s(literal -25 binary64))) (-.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 5 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64))) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) #s(literal 50 binary64))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 x (*.f64 (/.f64 x eps) #s(literal 10 binary64)))) |
(fma.f64 x (*.f64 (/.f64 x eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 x #s(literal 5 binary64) (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x)) |
(fma.f64 x #s(literal 5 binary64) (*.f64 x (*.f64 (/.f64 x eps) #s(literal 10 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x) (*.f64 #s(literal 5 binary64) x)) |
(+.f64 (*.f64 x (*.f64 (/.f64 x eps) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) x)) |
(+.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x)) |
(+.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 x (*.f64 (/.f64 x eps) #s(literal 10 binary64)))) |
Compiled 30 656 to 2 897 computations (90.5% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 589 | 17 | 606 |
| Fresh | 3 | 3 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 597 | 24 | 621 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 69.9% | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 69.9% | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) #s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| 78.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) | |
| ✓ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 79.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| ✓ | 85.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| ▶ | 85.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| ▶ | 79.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
| 79.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| 85.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) | |
| 78.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| 46.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 #s(approx (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps))) #s(literal 1 binary64)))) | |
| 78.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| 65.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) | |
| 65.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) | |
| ▶ | 65.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
| 65.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) | |
| 79.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps))) | |
| ▶ | 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
| 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) | |
| ▶ | 76.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
| 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) | |
| 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
Compiled 1 535 to 975 computations (36.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) | |
| cost-diff | 0 | #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) | |
| cost-diff | 2 | (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) | |
| cost-diff | 1 | (fma.f64 #s(literal 4 binary64) eps eps) | |
| cost-diff | 2 | (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) | |
| cost-diff | 4 | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| cost-diff | 4 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) | |
| cost-diff | 4 | (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))) | |
| cost-diff | 0 | #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) | |
| cost-diff | 1 | (-.f64 eps (*.f64 #s(literal 5 binary64) x)) | |
| cost-diff | 1 | (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 597 |
| 0 | 99 | 580 |
| 1 | 213 | 538 |
| 2 | 739 | 508 |
| 3 | 4124 | 508 |
| 0 | 8377 | 488 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) |
(*.f64 eps eps) |
eps |
(*.f64 #s(literal 25 binary64) (*.f64 x x)) |
#s(literal 25 binary64) |
(*.f64 x x) |
x |
(-.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 eps eps) |
eps |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(fma.f64 #s(literal 4 binary64) eps eps) |
#s(literal 4 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) |
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) |
#s(literal 10 binary64) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 eps (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal -25 binary64) (*.f64 x x) (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 eps (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal -25 binary64) (*.f64 x x) (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 eps (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal -25 binary64) (*.f64 x x) (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(fma.f64 (/.f64 eps (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal -25 binary64) (*.f64 x x) (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (fma.f64 #s(literal -25 binary64) (*.f64 x x) (*.f64 eps eps)) (fma.f64 #s(literal -5 binary64) x eps)) |
(-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -25 binary64) (*.f64 x x) (*.f64 eps eps)) |
(*.f64 eps eps) |
eps |
(*.f64 #s(literal 25 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 25 binary64)) |
#s(literal 25 binary64) |
(*.f64 x x) |
x |
(-.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal -5 binary64) x eps) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(*.f64 eps eps) |
eps |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(fma.f64 #s(literal 4 binary64) eps eps) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 4 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) eps) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) |
(fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) |
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) |
(fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) |
#s(literal 10 binary64) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 0.1328125 | (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) | |
| accuracy | 9.117059403700662 | (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 9.184472036720408 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) | |
| accuracy | 0.16796875 | (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) | |
| accuracy | 5.982316068915997 | (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) | |
| accuracy | 13.35378280307338 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) | |
| accuracy | 13.461415641844725 | (/.f64 (*.f64 eps eps) x) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) | |
| accuracy | 0.14518797190493687 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) | |
| accuracy | 9.321670592600633 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| accuracy | 0.0625 | (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))) | |
| accuracy | 0.16361302206230377 | (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)) | |
| accuracy | 9.321670592600633 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) | |
| accuracy | 13.371292962367065 | #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))) | |
| accuracy | 0.14807379138909577 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 0.19252110241743065 | (*.f64 #s(literal 25 binary64) (*.f64 x x)) | |
| accuracy | 9.184472036720408 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) | |
| accuracy | 12.760756869385434 | (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) |
| 76.0ms | 187× | 0 | valid |
| 55.0ms | 16× | 2 | valid |
| 53.0ms | 53× | 1 | valid |
Compiled 406 to 61 computations (85% saved)
ival-mult: 43.0ms (28.5% of total)adjust: 35.0ms (23.2% of total)ival-pow: 23.0ms (15.2% of total)ival-add: 22.0ms (14.6% of total)ival-div: 13.0ms (8.6% of total)ival-sub: 12.0ms (8% of total)ival-neg: 2.0ms (1.3% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) |
(-.f64 eps (*.f64 #s(literal 5 binary64) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 eps eps) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) |
(fma.f64 #s(literal 4 binary64) eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 #s(literal 25 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) |
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 2) |
(+ (* -25 (pow x 2)) (pow eps 2)) |
eps |
(+ eps (* -5 x)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(+ eps (* 5 x)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 25 (pow x 2)) |
(* 10 (pow x 2)) |
(* 5 (* (pow eps 2) x)) |
(/ (pow eps 2) x) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(+ eps (* x (+ 5 (* 10 (/ x eps))))) |
5 |
(+ 5 (* 10 (/ x eps))) |
(* -25 (pow x 2)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 25)) |
(* -5 x) |
(* x (- (/ eps 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)))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ eps (* 4 eps))) |
(* (pow x 2) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (+ (* 5 (/ 1 x)) (/ eps (pow x 2))))) |
(* 10 (/ x eps)) |
(* x (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* -1 (* x (+ 5 (* -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)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 5) x)) (* 10 (/ 1 eps)))) |
(- (pow eps 2) (* 25 (pow x 2))) |
(- eps (* 5 x)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (* 6 (pow x 2)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2))))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 6 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 4) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) eps) |
(/ (+ (* 5 eps) (* 10 x)) eps) |
(* (pow eps 2) (+ 1 (* -25 (/ (pow x 2) (pow eps 2))))) |
(* eps (+ 1 (* -5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 6 (/ (pow x 2) (pow eps 2))))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* eps (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* -1 (* eps (- (* 5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(* -1 (* eps (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((- (* eps eps) (* 25 (* x x))) (- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (* eps eps) (* (* eps eps) (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* eps eps) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (+ (* 4 eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (/ (- (* eps eps) (* 25 (* x x))) (- eps (* 5 x))) (* 25 (* x x)) (* (* x x) 10) (* (* eps eps) (* 5 x)) (/ (* eps eps) x) (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (+ (* (+ (* 10 (/ x eps)) 5) x) eps) (+ (* 10 (/ x eps)) 5)) |
| 5.0ms | x | @ | -inf | ((- (* eps eps) (* 25 (* x x))) (- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (* eps eps) (* (* eps eps) (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* eps eps) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (+ (* 4 eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (/ (- (* eps eps) (* 25 (* x x))) (- eps (* 5 x))) (* 25 (* x x)) (* (* x x) 10) (* (* eps eps) (* 5 x)) (/ (* eps eps) x) (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (+ (* (+ (* 10 (/ x eps)) 5) x) eps) (+ (* 10 (/ x eps)) 5)) |
| 5.0ms | eps | @ | -inf | ((- (* eps eps) (* 25 (* x x))) (- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (* eps eps) (* (* eps eps) (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* eps eps) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (+ (* 4 eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (/ (- (* eps eps) (* 25 (* x x))) (- eps (* 5 x))) (* 25 (* x x)) (* (* x x) 10) (* (* eps eps) (* 5 x)) (/ (* eps eps) x) (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (+ (* (+ (* 10 (/ x eps)) 5) x) eps) (+ (* 10 (/ x eps)) 5)) |
| 5.0ms | eps | @ | inf | ((- (* eps eps) (* 25 (* x x))) (- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (* eps eps) (* (* eps eps) (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* eps eps) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (+ (* 4 eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (/ (- (* eps eps) (* 25 (* x x))) (- eps (* 5 x))) (* 25 (* x x)) (* (* x x) 10) (* (* eps eps) (* 5 x)) (/ (* eps eps) x) (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (+ (* (+ (* 10 (/ x eps)) 5) x) eps) (+ (* 10 (/ x eps)) 5)) |
| 4.0ms | x | @ | 0 | ((- (* eps eps) (* 25 (* x x))) (- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (* (* eps eps) (* (* eps eps) (* 5 x))) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* eps eps) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (+ (* 4 eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (/ (+ (* (+ (* 10 (/ x eps)) 5) x) eps) eps) (/ (- (* eps eps) (* 25 (* x x))) (- eps (* 5 x))) (* 25 (* x x)) (* (* x x) 10) (* (* eps eps) (* 5 x)) (/ (* eps eps) x) (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (+ (* (+ (* 10 (/ x eps)) 5) x) eps) (+ (* 10 (/ x eps)) 5)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 411 | 1743 |
| 1 | 1547 | 1487 |
| 2 | 7167 | 1441 |
| 0 | 8012 | 1344 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 2) |
(+ (* -25 (pow x 2)) (pow eps 2)) |
eps |
(+ eps (* -5 x)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(+ eps (* 5 x)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 25 (pow x 2)) |
(* 10 (pow x 2)) |
(* 5 (* (pow eps 2) x)) |
(/ (pow eps 2) x) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(+ eps (* x (+ 5 (* 10 (/ x eps))))) |
5 |
(+ 5 (* 10 (/ x eps))) |
(* -25 (pow x 2)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 25)) |
(* -5 x) |
(* x (- (/ eps 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)))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ eps (* 4 eps))) |
(* (pow x 2) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (+ (* 5 (/ 1 x)) (/ eps (pow x 2))))) |
(* 10 (/ x eps)) |
(* x (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* -1 (* x (+ 5 (* -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)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 5) x)) (* 10 (/ 1 eps)))) |
(- (pow eps 2) (* 25 (pow x 2))) |
(- eps (* 5 x)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (* 6 (pow x 2)))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2))))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 6 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 4) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) eps) |
(/ (+ (* 5 eps) (* 10 x)) eps) |
(* (pow eps 2) (+ 1 (* -25 (/ (pow x 2) (pow eps 2))))) |
(* eps (+ 1 (* -5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 6 (/ (pow x 2) (pow eps 2))))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* eps (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* -1 (* eps (- (* 5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(* -1 (* eps (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
| Outputs |
|---|
(pow eps 2) |
(*.f64 eps eps) |
(+ (* -25 (pow x 2)) (pow eps 2)) |
(fma.f64 (*.f64 x x) #s(literal -25 binary64) (*.f64 eps eps)) |
eps |
(+ eps (* -5 x)) |
(fma.f64 #s(literal -5 binary64) x eps) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x eps) (*.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))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) |
(* 25 (pow x 2)) |
(*.f64 #s(literal 25 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64)) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x eps)) |
(* x (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) |
(+ eps (* x (+ 5 (* 10 (/ x eps))))) |
(fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) |
5 |
#s(literal 5 binary64) |
(+ 5 (* 10 (/ x eps))) |
(fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* -25 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -25 binary64)) |
(* (pow x 2) (- (/ (pow eps 2) (pow x 2)) 25)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 25 binary64)) x) x) |
(* -5 x) |
(*.f64 #s(literal -5 binary64) x) |
(* x (- (/ eps x) 5)) |
(*.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) 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) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(* 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) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) (*.f64 x x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (/ eps x))) |
(*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(+ eps (* 4 eps)) |
(*.f64 #s(literal 5 binary64) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal -10 binary64) eps)) eps) x) x) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 5 binary64) eps)) x) (/.f64 #s(literal -10 binary64) (*.f64 eps eps))) x) x) |
(* (pow x 2) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(* (pow x 2) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 x x)) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal -10 binary64) eps)) (*.f64 x x)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (+ (* 5 (/ 1 x)) (/ eps (pow x 2))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x) (/.f64 #s(literal -10 binary64) eps)) x) x) |
(* 10 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 10 binary64)) |
(* x (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal -10 binary64) eps)) x) |
(* -1 (* x (+ 5 (* -1 (/ eps x))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 eps #s(literal 3 binary64))) x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) x) x) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -5 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 5) x)) (* 10 (/ 1 eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -5 binary64)) x) #s(literal -1 binary64) (/.f64 #s(literal 10 binary64) eps)) x) x) |
(- (pow eps 2) (* 25 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -25 binary64) (*.f64 eps eps)) |
(- eps (* 5 x)) |
(fma.f64 #s(literal -5 binary64) x eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.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 eps 3) (+ (* 4 (pow x 2)) (* 6 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) #s(literal 10 binary64)) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 5 (* eps x)) (* 6 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 4 (pow x 2)) (+ (* 6 (pow x 2)) (* eps (+ eps (* 5 x)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* 5 eps) |
(*.f64 #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) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) eps) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) eps) |
(* 5 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) eps) |
(/.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) |
(/ (+ (* 5 eps) (* 10 x)) eps) |
(/.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) |
(* (pow eps 2) (+ 1 (* -25 (/ (pow x 2) (pow eps 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal -25 binary64) #s(literal 1 binary64)) eps) eps) |
(* eps (+ 1 (* -5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal 1 binary64)) eps) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) eps)) eps)) (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 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps)) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) eps) x) eps) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 5 (/ x eps)) (* 6 (/ (pow x 2) (pow eps 2))))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal -5 binary64) eps)) eps) eps) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps) |
(* eps (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) eps) |
(* -1 (* eps (- (* 5 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x (fma.f64 (*.f64 #s(literal -6 binary64) x) x (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64))) eps))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 4 (/ (pow x 2) eps)) (+ (* 5 x) (* 6 (/ (pow x 2) eps)))) eps)) 1))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) #s(literal 1 binary64))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) |
(* -1 (* eps (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (*.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 499 |
| 0 | 99 | 481 |
| 1 | 410 | 399 |
| 2 | 3489 | 399 |
| 0 | 8318 | 393 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) |
(-.f64 eps (*.f64 #s(literal 5 binary64) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 eps eps) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) |
(fma.f64 #s(literal 4 binary64) eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 #s(literal 25 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) |
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (+.f64 (fabs.f64 eps) (*.f64 #s(literal 5 binary64) x)) (-.f64 (fabs.f64 eps) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (+.f64 (neg.f64 eps) (*.f64 #s(literal 5 binary64) x)) (-.f64 (neg.f64 eps) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (fma.f64 #s(literal -5 binary64) x eps)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -25 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 25 binary64)) x (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 25 binary64) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 4 binary64))) (fma.f64 (*.f64 x #s(literal 25 binary64)) x (*.f64 eps eps))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 6 binary64))) (+.f64 (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 25 binary64) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 4 binary64))) (pow.f64 eps #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -5 binary64) x) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x #s(literal 25 binary64))) x)) |
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 25 binary64))) |
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (*.f64 #s(literal -25 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -5 binary64) x) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x #s(literal 25 binary64))) x)) |
(fma.f64 (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 25 binary64))) |
(fma.f64 (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (*.f64 #s(literal -25 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -5 binary64) x) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x #s(literal 25 binary64))) x)) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 25 binary64))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 #s(literal -25 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 eps) (*.f64 (*.f64 #s(literal -5 binary64) x) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 eps) (*.f64 (neg.f64 (*.f64 x #s(literal 25 binary64))) x)) |
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(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 3 binary64))) x) |
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(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (*.f64 x 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))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x)) |
(*.f64 x (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))) |
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(/.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) x (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) x (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 #s(literal 4 binary64) eps)))) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 #s(literal 4 binary64) eps)))) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal -5 binary64) eps))) |
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(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))))) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) |
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 5 binary64) eps)) |
(fma.f64 #s(literal 4 binary64) eps (+.f64 eps (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))) |
(fma.f64 #s(literal 5 binary64) eps (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 5 binary64) eps)) |
(fma.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) eps)) |
(fma.f64 eps #s(literal 4 binary64) (+.f64 eps (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal -5 binary64) eps))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal -5 binary64) eps)))) |
(-.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) (*.f64 #s(literal -5 binary64) eps)) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (neg.f64 (/.f64 (*.f64 eps eps) x)) #s(literal 10 binary64))) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x))) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) eps) (*.f64 #s(literal 4 binary64) eps)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
(+.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) eps)) |
(+.f64 (*.f64 #s(literal 4 binary64) eps) (+.f64 eps (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))) |
(+.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) |
(+.f64 eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps))) |
(*.f64 #s(literal 5 binary64) eps) |
(*.f64 eps #s(literal 5 binary64)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 16 binary64) (*.f64 eps eps))) (-.f64 eps (*.f64 #s(literal 4 binary64) eps))) |
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(/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps)) |
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(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 #s(literal 4 binary64) eps))))) |
(fma.f64 #s(literal 4 binary64) eps eps) |
(fma.f64 eps #s(literal 4 binary64) eps) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) |
(-.f64 eps (*.f64 #s(literal -4 binary64) eps)) |
(-.f64 eps (*.f64 (neg.f64 eps) #s(literal 4 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 #s(literal 4 binary64) eps))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 eps (-.f64 eps (*.f64 #s(literal 4 binary64) eps)))))) |
(+.f64 (*.f64 #s(literal 4 binary64) eps) eps) |
(+.f64 eps (*.f64 #s(literal 4 binary64) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)))) |
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(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) eps)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) (/.f64 (pow.f64 eps #s(literal 5 binary64)) eps)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps)) (pow.f64 eps #s(literal 5 binary64))) (neg.f64 eps)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps))) (neg.f64 eps)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps))) (neg.f64 eps)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps)) eps) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) (pow.f64 eps #s(literal 5 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) eps)))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps))) eps) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps (*.f64 eps eps)) (*.f64 eps eps)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64))) eps)) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps)) (neg.f64 eps)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) eps) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps)) eps)) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) (neg.f64 eps))) |
(fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) (/.f64 x eps) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) #s(literal 1 binary64)) |
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(*.f64 x (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x)) |
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(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal -5 binary64) eps))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 (*.f64 x x) eps)) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))) |
(+.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x)) (*.f64 eps (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps))) (*.f64 (*.f64 x x) eps)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64))) (-.f64 eps (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 eps eps))) (neg.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x eps) |
(fma.f64 x (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps))) |
(-.f64 eps (*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64))) x)) |
(-.f64 eps (*.f64 (neg.f64 x) (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) eps) |
(+.f64 eps (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) |
(/.f64 (-.f64 #s(literal 25 binary64) (pow.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) #s(literal 10 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) #s(literal -25 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) #s(literal 50 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) #s(literal -25 binary64)) (-.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 5 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) (+.f64 #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 x eps) #s(literal 50 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) #s(literal 50 binary64))))) |
(fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) |
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 25 binary64) (-.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 5 binary64)))) |
(-.f64 #s(literal 5 binary64) (*.f64 (neg.f64 (/.f64 x eps)) #s(literal 10 binary64))) |
(-.f64 #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) (/.f64 x eps))) |
(+.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) #s(literal 50 binary64))))) (/.f64 #s(literal 125 binary64) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) #s(literal 50 binary64)))))) |
(+.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) #s(literal 5 binary64)) |
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 10 binary64)))) |
(+.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) #s(literal 10 binary64))) |
Compiled 36 242 to 3 958 computations (89.1% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 789 | 14 | 803 |
| Fresh | 6 | 9 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 798 | 29 | 827 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 69.9% | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 69.9% | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) #s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 79.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) | |
| 79.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| ✓ | 85.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| 75.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) | |
| 85.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) | |
| 79.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) | |
| 85.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) | |
| 79.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) | |
| 78.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| 46.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 #s(approx (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps))) #s(literal 1 binary64)))) | |
| 78.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| 79.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) | |
| 79.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) | |
| 78.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) | |
| 65.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) | |
| 65.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) | |
| ✓ | 65.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
| 65.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) | |
| 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -25 binary64) (*.f64 eps eps)) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) | |
| 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) #s(approx (- eps (* 5 x)) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) | |
| 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) | |
| ✓ | 76.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
| 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) | |
| 85.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
Compiled 2 796 to 1 006 computations (64% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 #s(approx (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps))) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -25 binary64) (*.f64 eps eps)) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) #s(approx (- eps (* 5 x)) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) #s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (fma.f64 (*.f64 eps eps) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (pow.f64 eps #s(literal 3 binary64))) x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x x) (fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 13.0ms | eps |
| 12.0ms | x |
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 98.2% | 3 | x |
| 97.6% | 3 | eps |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 #s(approx (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps))) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -25 binary64) (*.f64 eps eps)) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) #s(approx (- eps (* 5 x)) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) #s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (pow x 4)) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
1 calls:
| 35.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 #s(approx (/ (neg (* (+ (* 10 (/ x eps)) 5) x)) eps) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps))) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -25 binary64) (*.f64 eps eps)) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) eps)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) #s(approx (- eps (* 5 x)) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))) |
1 calls:
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)) eps) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
1 calls:
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
2 calls:
| 25.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | x |
| 98.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
1 calls:
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (fma.f64 #s(literal 4 binary64) eps eps)) (*.f64 x x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))) |
1 calls:
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.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 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
1 calls:
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
3 calls:
| 22.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 1 | eps |
| 78.9% | 1 | x |
| 78.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 65.6% | 1 | x |
| 65.6% | 1 | eps |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5613018068525548e-303 |
| 0.0ms | -7.010485e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1732 |
| 1 | 248 | 1688 |
| 2 | 498 | 1660 |
| 3 | 1424 | 1660 |
| 4 | 5631 | 1660 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x eps) eps) (pow.f64 eps #s(literal 5 binary64))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (*.f64 x x) (*.f64 eps (*.f64 x x))) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) x) x) (neg.f64 x)) (neg.f64 x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.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 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* 4 eps) (/ (* 10 (* eps eps)) x)) eps) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (+ (* 6 (* x x)) (* (* x x) 4)) eps)) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.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 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (+ (* 4 eps) eps)) (* x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 374 |
| 0 | 93 | 374 |
| 1 | 345 | 362 |
| 2 | 2731 | 356 |
| 0 | 9598 | 349 |
| 0 | 65 | 499 |
| 0 | 99 | 481 |
| 1 | 410 | 399 |
| 2 | 3489 | 399 |
| 0 | 8318 | 393 |
| 0 | 411 | 1743 |
| 1 | 1547 | 1487 |
| 2 | 7167 | 1441 |
| 0 | 8012 | 1344 |
| 0 | 245 | 963 |
| 1 | 900 | 862 |
| 2 | 4107 | 822 |
| 0 | 8224 | 753 |
| 0 | 391 | 1659 |
| 1 | 1470 | 1388 |
| 2 | 6982 | 1344 |
| 0 | 8619 | 1254 |
| 0 | 37 | 240 |
| 0 | 63 | 230 |
| 1 | 256 | 200 |
| 2 | 1949 | 200 |
| 0 | 8552 | 200 |
| 0 | 396 | 1614 |
| 1 | 1458 | 1386 |
| 2 | 6602 | 1336 |
| 0 | 8411 | 1240 |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 728 to 158 computations (90.9% saved)
Compiled 3 474 to 330 computations (90.5% saved)
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