ENA, Section 1.4, Exercise 4b, n=5
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)
| 895.0ms | 6 618× | 0 | valid |
| 267.0ms | 1 343× | 1 | valid |
| 131.0ms | 295× | 2 | valid |
ival-pow: 532.0ms (56.2% of total)ival-add: 157.0ms (16.6% of total)ival-<=: 105.0ms (11.1% of total)adjust: 58.0ms (6.1% of total)ival-sub: 51.0ms (5.4% of total)ival-and: 21.0ms (2.2% of total)exact: 19.0ms (2% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 37 | 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 | 37 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 37 | 0 |
| - | 0 | 219 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 0 |
| - | 0 | 0 | 219 |
| number | freq |
|---|---|
| 0 | 219 |
| 1 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 420× | 0 | valid |
| 28.0ms | 84× | 1 | valid |
| 2.0ms | 8× | 2 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-pow: 21.0ms (47.2% of total)adjust: 17.0ms (38.2% of total)ival-add: 3.0ms (6.7% of total)ival-sub: 3.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 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 |
|---|---|---|
| ▶ | 87.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 5 binary64)) | |
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 0 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 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 | 0.03191376953688403 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 7.845462726155191 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 18.0ms | 210× | 0 | valid |
| 11.0ms | 42× | 1 | valid |
| 1.0ms | 4× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 13.0ms (72.6% of total)ival-add: 2.0ms (11.2% of total)adjust: 1.0ms (5.6% of total)ival-sub: 1.0ms (5.6% 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 | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 963 |
| 1 | 900 | 862 |
| 2 | 4071 | 694 |
| 0 | 8439 | 658 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(pow x 5) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 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 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 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 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (+.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 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 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 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -10 binary64) (*.f64 eps eps) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -10 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* -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 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (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 #s(literal -10 binary64) (*.f64 eps eps) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 x (*.f64 eps eps)) (*.f64 #s(literal 2 binary64) x) #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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 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 (*.f64 #s(literal -10 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 #s(literal -10 binary64) (*.f64 x x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 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 |
| 2 | 345 | 20 |
| 3 | 3615 | 20 |
| 0 | 8241 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 30 binary64)))) (fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))))) |
(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (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 x #s(literal 5/2 binary64))))) |
(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 eps 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))) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(*.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (-.f64 (pow.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)))) #s(literal 2 binary64)) (pow.f64 (/.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)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 (-.f64 (pow.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)))) #s(literal 2 binary64)) (pow.f64 (/.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)))) #s(literal 2 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 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (+.f64 (pow.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)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.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)))) #s(literal 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 (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)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (+.f64 (pow.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)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.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)))) #s(literal 2 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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))))) |
(/.f64 (-.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 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.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 (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (pow.f64 x #s(literal 15 binary64)))) (pow.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 x #s(literal 20 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))))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 30 binary64)) (pow.f64 x #s(literal 30 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))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 eps x)) (-.f64 x eps))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (-.f64 x eps) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (neg.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 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 eps x)) (-.f64 x eps)) (-.f64 x eps))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 eps x) eps)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 eps x) eps) (-.f64 (*.f64 (-.f64 eps x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 eps x) eps)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 eps x) eps) (-.f64 (*.f64 (-.f64 eps x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(fma.f64 (*.f64 eps eps) (/.f64 eps (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))) |
(exp.f64 (log.f64 (+.f64 eps x))) |
(+.f64 (cosh.f64 (log.f64 (+.f64 eps x))) (sinh.f64 (log.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(+.f64 eps x) |
(+.f64 x eps) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))) (exp.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))) |
(pow.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 x) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 5 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 5 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x))) (cosh.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x)))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal 10 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fabs.f64 (pow.f64 x #s(literal 5 binary64))) |
(exp.f64 (/.f64 (*.f64 #s(literal 10 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 5 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 5 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (cosh.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 5 733 to 951 computations (83.4% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 11 | 232 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 221 | 12 | 233 |
| Status | Accuracy | Program |
|---|---|---|
| 38.3% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| 82.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) | |
| ✓ | 87.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 86.5% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
| ▶ | 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| ▶ | 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| ▶ | 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| 82.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x) x)))) (pow.f64 x #s(literal 4 binary64)))) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| ▶ | 78.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
Compiled 509 to 355 computations (30.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| cost-diff | 3 | (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 1 | (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps)) | |
| cost-diff | 1 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) | |
| cost-diff | 2 | (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) | |
| cost-diff | 0 | (/.f64 x eps) | |
| cost-diff | 0 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (+.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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) | |
| cost-diff | 4 | (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 351 |
| 0 | 70 | 351 |
| 1 | 124 | 343 |
| 2 | 336 | 324 |
| 3 | 1309 | 318 |
| 4 | 3906 | 313 |
| 5 | 6200 | 313 |
| 0 | 8198 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 x x) |
#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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps)) |
(*.f64 #s(literal -10 binary64) (*.f64 x x)) |
#s(literal -10 binary64) |
(*.f64 x x) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.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) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 5 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 x x) |
#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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64))) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps)) |
(*.f64 (*.f64 (/.f64 #s(literal 10 binary64) eps) x) x) |
(*.f64 #s(literal -10 binary64) (*.f64 x x)) |
#s(literal -10 binary64) |
(*.f64 x x) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) x) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10613251953688403 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.1526438109259798 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 0.15353763393572936 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 10.018870564550355 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| accuracy | 0.1953125 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) | |
| accuracy | 8.74696408240645 | (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 8.869804421356019 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 16.738041554507937 | (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps)) | |
| accuracy | 0.0 | (/.f64 x eps) | |
| accuracy | 0.14453125 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.26735796619750746 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 9.048480140335249 | #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 | 9.05241403386561 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.03191376953688403 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 0.07421875 | (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) | |
| accuracy | 7.845462726155191 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
| 121.0ms | 203× | 0 | valid |
| 43.0ms | 48× | 1 | valid |
| 4.0ms | 5× | 2 | valid |
Compiled 306 to 41 computations (86.6% saved)
ival-pow: 27.0ms (33.7% of total)ival-mult: 20.0ms (24.9% of total)ival-div: 11.0ms (13.7% of total)adjust: 7.0ms (8.7% of total)ival-add: 7.0ms (8.7% of total)ival-sub: 4.0ms (5% of total)ival-neg: 2.0ms (2.5% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 x x) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
| Outputs |
|---|
(pow x 5) |
(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) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* -5 (/ x eps)) |
(* x (- (* -10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(pow x 2) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (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))) |
(* 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 3) (+ 10 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (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))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* 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 4) (+ eps (* 5 x))) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* -10 (pow x 2)) (* -5 (* eps x))) (pow eps 2)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* -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))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | eps | @ | 0 | ((* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* x x) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* 10 (* x x)) (* (pow x 3) 10) (* (pow x 4) 5)) |
| 6.0ms | x | @ | 0 | ((* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* x x) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* 10 (* x x)) (* (pow x 3) 10) (* (pow x 4) 5)) |
| 5.0ms | x | @ | inf | ((* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* x x) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* 10 (* x x)) (* (pow x 3) 10) (* (pow x 4) 5)) |
| 5.0ms | x | @ | -inf | ((* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* x x) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* 10 (* x x)) (* (pow x 3) 10) (* (pow x 4) 5)) |
| 4.0ms | eps | @ | -inf | ((* (pow x 3) (* x x)) (- (pow (+ x eps) 5) (* (pow x 3) (* x x))) (pow (+ x eps) 5) (+ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* x x) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* 10 (* x x)) (* (pow x 3) 10) (* (pow x 4) 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 1897 |
| 1 | 1694 | 1740 |
| 2 | 7446 | 1704 |
| 0 | 8182 | 1585 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 5) |
(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) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* -5 (/ x eps)) |
(* x (- (* -10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(pow x 2) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (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))) |
(* 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 3) (+ 10 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (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))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* 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 4) (+ eps (* 5 x))) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* -10 (pow x 2)) (* -5 (* eps x))) (pow eps 2)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* -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))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
| Outputs |
|---|
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64))) |
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(*.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 (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))))) (pow.f64 eps #s(literal 5 binary64))) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps) |
(/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64))) eps) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (/.f64 #s(literal 5 binary64) eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (/.f64 #s(literal 5 binary64) eps))) (*.f64 eps eps)) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) eps) #s(literal 1 binary64)) (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 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -6 binary64))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -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 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)))) (neg.f64 eps))) (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))) |
(* -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 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (neg.f64 eps) #s(literal -10 binary64)) (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) #s(literal -10 binary64)) (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -10 binary64))) (neg.f64 eps))) eps) eps) |
(* -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 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 269 |
| 0 | 70 | 269 |
| 1 | 250 | 252 |
| 2 | 1825 | 252 |
| 0 | 8619 | 248 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (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 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 x x) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))) (neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64)))) (fabs.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64)))) (fabs.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))) (fabs.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 7/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 7/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (*.f64 x (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fabs.f64 (pow.f64 x #s(literal 7/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 7/2 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) x) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 x (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 5 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.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))))))) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 10 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 5 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/2 binary64) (*.f64 (log.f64 x) #s(literal 5/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 5/2 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)))) |
(*.f64 (/.f64 (-.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 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) (/.f64 (-.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 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))) |
(*.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 (-.f64 (pow.f64 (/.f64 (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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (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 10 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (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 x #s(literal 10 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps 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 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps 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 x (+.f64 eps 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 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps 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 x (+.f64 eps 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 15 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 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 (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))))))) |
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(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (cosh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))))) |
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) |
(fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(exp.f64 (fma.f64 (log.f64 (+.f64 eps x)) #s(literal 5/2 binary64) (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (pow.f64 eps #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 (/.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 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (exp.f64 (log.f64 (-.f64 x eps)))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) |
(/.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 eps (-.f64 (*.f64 x x) (*.f64 eps x))))) |
(/.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))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) eps) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) eps) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(exp.f64 (log.f64 (+.f64 eps x))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))) |
(+.f64 (cosh.f64 (log.f64 (+.f64 eps x))) (sinh.f64 (log.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(+.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 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(+.f64 eps x) |
(+.f64 x eps) |
#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 (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 (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 eps #s(literal 5 binary64)) |
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(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 (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 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (-.f64 (*.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)) (-.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 125 binary64) #s(literal 1 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 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))) |
(/.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))) (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 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64))) (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))))) |
(fma.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
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(fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 5 binary64))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))) eps)) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))))))) (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 5 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (neg.f64 (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) (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 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) (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 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps)) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 (*.f64 #s(literal -10 binary64) x)) x) |
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -10 binary64)) |
(*.f64 (*.f64 #s(literal -10 binary64) x) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 #s(literal -10 binary64) (neg.f64 (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x (*.f64 #s(literal 10 binary64) x)) |
(neg.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 10 binary64) x)) (*.f64 x x)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x))) x) |
(*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fabs.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 #s(literal 10 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(fabs.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) |
(fabs.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
Compiled 30 222 to 3 686 computations (87.8% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 753 | 14 | 767 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 759 | 20 | 779 |
| Status | Accuracy | Program |
|---|---|---|
| 83.1% | (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| 38.3% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 87.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) eps (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))) | |
| ▶ | 77.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
| ✓ | 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 21.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) eps) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| ▶ | 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| ✓ | 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| 69.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))) | |
| ▶ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) | |
| 80.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -10 binary64))) (neg.f64 eps))) eps) eps)) eps)) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) | |
| ▶ | 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
| 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) | |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))) | |
| ▶ | 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))))) |
Compiled 1 276 to 849 computations (33.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| cost-diff | 1 | (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) | |
| cost-diff | 2 | (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 574 |
| 0 | 97 | 574 |
| 1 | 181 | 562 |
| 2 | 485 | 541 |
| 3 | 2043 | 533 |
| 4 | 6048 | 533 |
| 0 | 8192 | 520 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) 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)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 5/2 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg 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 (*.f64 #s(literal 10 binary64) x) x))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg 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 (*.f64 #s(literal 10 binary64) x) x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) 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)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 5/2 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10613251953688403 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 #s(literal 5 binary64) x) eps) | |
| accuracy | 0.1526438109259798 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 10.041958304066759 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| accuracy | 0.1484375 | (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) | |
| accuracy | 0.8053826655677534 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 3.5919816301466585 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 10.018870564550355 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.13023378907376806 | (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) | |
| accuracy | 14.212121217324881 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 #s(literal 10 binary64) x) x) | |
| accuracy | 10.018870564550355 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) | |
| accuracy | 15.255898084924446 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) | |
| accuracy | 0.078125 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 #s(literal 10 binary64) x) x) | |
| accuracy | 8.869804421356019 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))))) |
| 104.0ms | 49× | 1 | valid |
| 89.0ms | 202× | 0 | valid |
| 5.0ms | 5× | 2 | valid |
Compiled 393 to 58 computations (85.2% saved)
ival-mult: 57.0ms (33% of total)ival-div: 45.0ms (26.1% of total)ival-pow: 39.0ms (22.6% of total)ival-add: 13.0ms (7.5% of total)adjust: 7.0ms (4.1% of total)ival-neg: 7.0ms (4.1% of total)ival-sub: 3.0ms (1.7% 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) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 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)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 10 (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* 10 (/ eps x)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(* 10 (pow x 3)) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (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))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
5 |
(+ 5 (* 10 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* (pow x 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)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 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)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (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)))))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x 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 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (pow eps 5)) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (* eps eps) 5/2) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* (* 10 x) x) (* (* (* 10 x) x) eps) (+ (* (/ eps x) 10) 5) (* (pow x 3) 10) (* (* 5 x) eps) (* (pow x 4) 5)) |
| 5.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (* eps eps) 5/2) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* (* 10 x) x) (* (* (* 10 x) x) eps) (+ (* (/ eps x) 10) 5) (* (pow x 3) 10) (* (* 5 x) eps) (* (pow x 4) 5)) |
| 5.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (* eps eps) 5/2) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* (* 10 x) x) (* (* (* 10 x) x) eps) (+ (* (/ eps x) 10) 5) (* (pow x 3) 10) (* (* 5 x) eps) (* (pow x 4) 5)) |
| 4.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (* eps eps) 5/2) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* (* 10 x) x) (* (* (* 10 x) x) eps) (+ (* (/ eps x) 10) 5) (* (pow x 3) 10) (* (* 5 x) eps) (* (pow x 4) 5)) |
| 4.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* 10 x) x) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (pow (* eps eps) 5/2) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (+ (* 10 (* x x)) (* (* 5 x) eps)) (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (* (* 10 x) x) (* (* (* 10 x) x) eps) (+ (* (/ eps x) 10) 5) (* (pow x 3) 10) (* (* 5 x) eps) (* (pow x 4) 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 458 | 2057 |
| 1 | 1822 | 1900 |
| 0 | 8338 | 1771 |
| 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)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 10 (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* 10 (/ eps x)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(* 10 (pow x 3)) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (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))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
5 |
(+ 5 (* 10 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* (pow x 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)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 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)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (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)))))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x 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 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -1 (pow eps 5)) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) 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))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(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 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 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) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps) eps) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* 5 (* eps x)) |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) eps) x) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) eps) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
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(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal -5 binary64) eps)) eps) |
(* -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 -4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -6 binary64))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -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 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))) eps)))) (neg.f64 eps))) (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 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) eps) #s(literal 1 binary64))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) eps) eps) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps)))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -10 binary64))) (neg.f64 eps))) eps) eps) |
(* -1 (pow eps 5)) |
(neg.f64 (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -10 binary64)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 (neg.f64 eps) (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps)) eps) eps) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal 10 binary64)) eps)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps))) (neg.f64 eps))) (pow.f64 eps #s(literal 4 binary64))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(*.f64 (-.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal -5 binary64) eps)) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 493 |
| 0 | 97 | 489 |
| 1 | 366 | 475 |
| 2 | 2593 | 465 |
| 0 | 8379 | 451 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg 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 (*.f64 #s(literal 10 binary64) x) x))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg 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 (*.f64 #s(literal 10 binary64) x) x)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) 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 (*.f64 #s(literal 10 binary64) x) x)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (pow.f64 eps #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) x) x))) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (pow.f64 eps #s(literal 3 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) x) x))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))))) |
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(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (*.f64 #s(literal -5 binary64) x) eps)) |
(fabs.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) |
(fabs.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
Compiled 24 159 to 2 553 computations (89.4% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 16 | 504 |
| Fresh | 8 | 4 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 501 | 23 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| 83.1% | (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| 38.3% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 87.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 77.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
| ✓ | 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x))) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))) eps)) | |
| ▶ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) | |
| 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) | |
| ▶ | 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
| 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) | |
| 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) | |
| 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) | |
| ▶ | 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) #s(approx (* (+ (* (/ eps x) 10) 5) (pow x 4)) (*.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)) | |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) | |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) | |
| ▶ | 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
| 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
Compiled 1 715 to 1 110 computations (35.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) | |
| cost-diff | 2 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 644 |
| 0 | 94 | 644 |
| 1 | 191 | 626 |
| 2 | 533 | 600 |
| 3 | 2238 | 596 |
| 4 | 6584 | 594 |
| 0 | 8322 | 583 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 x x) |
x |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x x) |
x |
#s(literal 10 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 eps (+.f64 eps x)) |
eps |
(+.f64 eps x) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
eps |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg 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 (*.f64 #s(literal 10 binary64) x) x))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps)) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg 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 (*.f64 #s(literal 10 binary64) x) x)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(*.f64 x x) |
x |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 x x) |
x |
#s(literal 10 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 eps (+.f64 eps x)) |
(*.f64 (+.f64 eps x) eps) |
eps |
(+.f64 eps x) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
eps |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.0390625 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.10613251953688403 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 10.488675227340492 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| accuracy | 0.1015625 | (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) | |
| accuracy | 0.10546875 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) | |
| accuracy | 0.23431135231507558 | (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) | |
| accuracy | 10.018870564550355 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) | |
| accuracy | 0.15353763393572936 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 10.018870564550355 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) | |
| accuracy | 15.255898084924446 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) | |
| accuracy | 0.1487375609259798 | (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) | |
| accuracy | 0.2062779197143759 | (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) | |
| accuracy | 10.018870564550355 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) | |
| accuracy | 15.255898084924446 | #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 #s(literal 10 binary64) x) x) | |
| accuracy | 0.32022293925125994 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) | |
| accuracy | 8.869804421356019 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
| 95.0ms | 202× | 0 | valid |
| 43.0ms | 50× | 1 | valid |
| 4.0ms | 4× | 2 | valid |
Compiled 406 to 56 computations (86.2% saved)
ival-mult: 41.0ms (41.4% of total)ival-pow: 24.0ms (24.2% of total)ival-add: 18.0ms (18.2% of total)adjust: 5.0ms (5% of total)ival-div: 4.0ms (4% of total)ival-sub: 3.0ms (3% of total)ival-neg: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
| Outputs |
|---|
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 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)) |
(pow eps 4) |
(+ (* 5 (* (pow eps 3) x)) (pow eps 4)) |
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
(* 10 (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* (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 (* 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 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2))))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (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 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ 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 2) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 4) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | inf | ((* (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* x x) (* 10 (* eps eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) 10) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* (* 10 x) x) (* 10 (* eps eps)) (* (* x x) 10) (* (* (* x x) 10) eps) (* (* eps (+ eps x)) 10) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 4.0ms | x | @ | -inf | ((* (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* x x) (* 10 (* eps eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) 10) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* (* 10 x) x) (* 10 (* eps eps)) (* (* x x) 10) (* (* (* x x) 10) eps) (* (* eps (+ eps x)) 10) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 4.0ms | eps | @ | -inf | ((* (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* x x) (* 10 (* eps eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) 10) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* (* 10 x) x) (* 10 (* eps eps)) (* (* x x) 10) (* (* (* x x) 10) eps) (* (* eps (+ eps x)) 10) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 3.0ms | eps | @ | inf | ((* (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* x x) (* 10 (* eps eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) 10) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* (* 10 x) x) (* 10 (* eps eps)) (* (* x x) 10) (* (* (* x x) 10) eps) (* (* eps (+ eps x)) 10) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 3.0ms | eps | @ | 0 | ((* (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* x x) (* 10 (* eps eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (* (* x x) 10) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (* (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (* (* 10 x) x) (* 10 (* eps eps)) (* (* x x) 10) (* (* (* x x) 10) eps) (* (* eps (+ eps x)) 10) (* (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) x) (+ (* (* x x) 5) (* (* eps (+ eps x)) 10))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 1866 |
| 1 | 1702 | 1723 |
| 2 | 7649 | 1697 |
| 0 | 8350 | 1576 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 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)) |
(pow eps 4) |
(+ (* 5 (* (pow eps 3) x)) (pow eps 4)) |
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
(* 10 (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* (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 (* 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 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2))))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (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 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ 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 2) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 4) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (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) x) (*.f64 eps eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(+ (* 5 (* (pow eps 3) x)) (pow eps 4)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
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(*.f64 (*.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (*.f64 (fma.f64 x (/.f64 x eps) x) #s(literal 10 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) #s(literal 10 binary64)) (*.f64 eps eps)) |
(* -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 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) eps) #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 -4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -6 binary64))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -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 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))) eps)))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) (pow.f64 eps #s(literal 4 binary64))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) #s(literal -10 binary64)) (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -10 binary64))) (neg.f64 eps))) eps) eps) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -5 binary64) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (neg.f64 eps))) eps) eps) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(*.f64 (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -5 binary64) (*.f64 #s(literal -10 binary64) x)) eps)) eps) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 585 |
| 0 | 94 | 585 |
| 1 | 336 | 559 |
| 2 | 2353 | 543 |
| 0 | 9691 | 523 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps) |
(*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps)) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 eps (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x))))) |
#s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)))) |
(*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x))) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) |
(*.f64 eps (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps))) (*.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) (*.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 10 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 eps eps))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 3 binary64))) (*.f64 eps eps))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 eps eps)) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal -10 binary64) x) x))) |
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(+.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps)))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) (*.f64 (+.f64 eps x) eps))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (+.f64 eps x))) #s(literal 10 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) |
(+.f64 (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
Compiled 20 605 to 2 228 computations (89.2% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 14 | 381 |
| Fresh | 7 | 8 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 376 | 28 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 83.1% | (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| 38.3% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 87.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 77.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
| ✓ | 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) | |
| ✓ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) | |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) | |
| ✓ | 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
| 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) | |
| 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) | |
| 73.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) #s(literal 10 binary64)) (*.f64 eps eps))) x) x)) eps)) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) | |
| 71.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) #s(approx (* (+ (* (/ eps x) 10) 5) (pow x 4)) (*.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)) | |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) | |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) | |
| 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) | |
| ✓ | 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
| 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
Compiled 3 376 to 1 113 computations (67% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) #s(literal 10 binary64)) (*.f64 eps eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) #s(approx (* (+ (* (/ eps x) 10) 5) (pow x 4)) (*.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 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) eps (*.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 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -10 binary64))) (neg.f64 eps))) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x) x)))) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) eps) (fma.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
3 calls:
| 144.0ms | x |
| 13.0ms | eps |
| 11.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 98.7% | 3 | x |
| 98.3% | 3 | eps |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) #s(literal 10 binary64)) (*.f64 eps eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) #s(literal 10 binary64)) (*.f64 eps eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) #s(literal 10 binary64)) (*.f64 eps eps))) x) x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 98.6% | 3 | x |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x))) eps)) |
1 calls:
| 28.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
3 calls:
| 13.0ms | eps |
| 5.0ms | x |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.9% | 1 | eps |
| 83.9% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* (* 10 x) x)) (* eps eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x) x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
3 calls:
| 5.0ms | eps |
| 5.0ms | x |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 1 | x |
| 83.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.9% | 1 | eps |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) x)) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) x) x) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x) x) eps)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
3 calls:
| 4.0ms | eps |
| 4.0ms | x |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.5% | 1 | x |
| 83.5% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.5% | 1 | eps |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) eps))) eps)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
3 calls:
| 1.0ms | eps |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 1 | x |
| 71.1% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 71.1% | 1 | eps |
Compiled 11 to 11 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 3.45974388981863e-60 | 5.170503223777714e-60 |
| 32.0ms | -2.4666833607361274e-51 | -6.224501964374891e-55 |
| 30.0ms | 144× | 1 | valid |
| 3.0ms | 48× | 0 | valid |
Compiled 892 to 600 computations (32.7% saved)
adjust: 12.0ms (44.3% of total)ival-pow: 12.0ms (44.3% of total)ival-add: 2.0ms (7.4% of total)ival-sub: 2.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.45974388981863e-60 | 5.170503223777714e-60 |
| 1.0ms | -2.4666833607361274e-51 | -6.224501964374891e-55 |
Compiled 868 to 592 computations (31.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.45974388981863e-60 | 5.170503223777714e-60 |
| 1.0ms | -2.4666833607361274e-51 | -6.224501964374891e-55 |
Compiled 784 to 544 computations (30.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.45974388981863e-60 | 5.170503223777714e-60 |
| 1.0ms | -2.4666833607361274e-51 | -6.224501964374891e-55 |
Compiled 1 228 to 796 computations (35.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.45974388981863e-60 | 5.170503223777714e-60 |
| 1.0ms | -2.4666833607361274e-51 | -6.224501964374891e-55 |
Compiled 1 212 to 788 computations (35% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.45974388981863e-60 | 5.170503223777714e-60 |
| 1.0ms | -2.4666833607361274e-51 | -6.224501964374891e-55 |
Compiled 1 212 to 792 computations (34.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.45974388981863e-60 | 5.170503223777714e-60 |
| 1.0ms | -2.4666833607361274e-51 | -6.224501964374891e-55 |
Compiled 1 284 to 828 computations (35.5% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 1152 |
| 1 | 212 | 1122 |
| 2 | 469 | 1086 |
| 3 | 1596 | 1076 |
| 4 | 4659 | 1072 |
| 5 | 7372 | 1072 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -8627182933488205/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x))) eps)))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 10 (* x x)) (* (* 5 x) eps)) eps) (* (pow x 3) 10)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) x (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -8627182933488205/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) (*.f64 x x))) eps)))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)))) |
(if (or (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (not (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) (*.f64 (*.f64 eps (+.f64 eps x)) #s(literal 10 binary64))) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps)))) |
(if (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) (if (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)))) |
(if (or (<=.f64 x #s(literal -4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (not (<=.f64 x #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) x) x)) eps) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 5 binary64) #s(approx (* (* eps (+ eps x)) 10) (*.f64 (*.f64 eps x) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 5) (* (* eps (+ eps x)) 10)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps) (* (pow x 4) 5)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 1897 |
| 1 | 1694 | 1740 |
| 2 | 7446 | 1704 |
| 0 | 8182 | 1585 |
| 0 | 245 | 963 |
| 1 | 900 | 862 |
| 2 | 4071 | 694 |
| 0 | 8439 | 658 |
| 0 | 458 | 2057 |
| 1 | 1822 | 1900 |
| 0 | 8338 | 1771 |
| 0 | 433 | 1866 |
| 1 | 1702 | 1723 |
| 2 | 7649 | 1697 |
| 0 | 8350 | 1576 |
| 0 | 66 | 585 |
| 0 | 94 | 585 |
| 1 | 336 | 559 |
| 2 | 2353 | 543 |
| 0 | 9691 | 523 |
| 0 | 67 | 493 |
| 0 | 97 | 489 |
| 1 | 366 | 475 |
| 2 | 2593 | 465 |
| 0 | 8379 | 451 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 152 to 143 computations (87.6% saved)
Compiled 2 322 to 300 computations (87.1% saved)
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