
Time bar (total: 7.5s)
| 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)
| 960.0ms | 6 643× | 0 | valid |
| 281.0ms | 1 286× | 1 | valid |
| 124.0ms | 327× | 2 | valid |
ival-pow: 528.0ms (52.5% of total)ival-<=: 178.0ms (17.7% of total)adjust: 88.0ms (8.7% of total)ival-add: 86.0ms (8.5% of total)ival-sub: 79.0ms (7.9% of total)ival-and: 23.0ms (2.3% of total)exact: 21.0ms (2.1% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 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 | 43 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 43 | 0 |
| - | 0 | 213 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 43 | 0 | 0 |
| - | 0 | 0 | 213 |
| number | freq |
|---|---|
| 0 | 213 |
| 1 | 43 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 398× | 0 | valid |
| 14.0ms | 86× | 1 | valid |
| 7.0ms | 28× | 2 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-pow: 20.0ms (59.7% of total)adjust: 6.0ms (17.9% of total)ival-add: 4.0ms (11.9% of total)ival-sub: 3.0ms (8.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 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 |
|---|---|---|
| ▶ | 84.9% | (-.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 | 0.014003759768442016 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 9.649573381508024 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 14.0ms | 199× | 0 | valid |
| 7.0ms | 43× | 1 | valid |
| 3.0ms | 14× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 10.0ms (61% of total)adjust: 3.0ms (18.3% of total)ival-add: 2.0ms (12.2% of total)ival-sub: 1.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(pow x 5) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 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)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 227 | 5 | 232 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 227 | 6 | 233 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 84.1% | #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)))) |
| ▶ | 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) |
| ▶ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| ▶ | 74.8% | #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 eps #s(literal 5 binary64)))) |
Compiled 221 to 159 computations (28.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 2 | (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))) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) | |
| cost-diff | 3 | (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| cost-diff | 0 | (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 | (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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 313 |
| 0 | 61 | 313 |
| 1 | 106 | 313 |
| 2 | 252 | 300 |
| 3 | 834 | 289 |
| 4 | 2840 | 289 |
| 5 | 4964 | 286 |
| 6 | 7030 | 286 |
| 0 | 8030 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(*.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))) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
x |
#s(literal -10 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 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)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 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))) |
(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)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)))) |
(*.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))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
x |
#s(literal -10 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 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 (fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) #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))) |
(*.f64 (fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) #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))) |
(fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #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)) |
(neg.f64 (fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #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 #s(literal -10 binary64) eps) x #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)) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
#s(literal -10 binary64) |
(*.f64 x x) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24609375 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) (neg.f64 eps)) | |
| accuracy | 9.99983693616274 | #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 | 11.572845537796683 | (*.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 | 14.794794850236457 | (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps)) | |
| accuracy | 0.25582755115753775 | (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) | |
| accuracy | 0.3436003336345953 | (*.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))) | |
| accuracy | 10.108075513764133 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) | |
| accuracy | 12.407358007556958 | (/.f64 (*.f64 eps eps) x) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.0625 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.07259750976844201 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 10.230710548268881 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 10.3154212059331 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.0 | (/.f64 x eps) | |
| accuracy | 0.10546875 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.5265100029462529 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 10.182842742465564 | #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)))) |
| 63.0ms | 176× | 0 | valid |
| 32.0ms | 59× | 1 | valid |
| 19.0ms | 21× | 2 | valid |
Compiled 261 to 36 computations (86.2% saved)
ival-mult: 35.0ms (40.8% of total)ival-pow: 18.0ms (21% of total)adjust: 11.0ms (12.8% of total)ival-div: 9.0ms (10.5% of total)ival-sub: 5.0ms (5.8% of total)ival-add: 5.0ms (5.8% of total)ival-neg: 2.0ms (2.3% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) |
(*.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))) |
(*.f64 #s(literal 5 binary64) eps) |
(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))) |
(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)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 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))) |
#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)))) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 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)) |
(/ (pow eps 2) x) |
(* -10 (/ (pow eps 2) x)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* -10 (/ (pow x 2) (pow eps 2))) |
(* -1 (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(/ (+ eps (* 5 x)) eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) (pow eps 2)) |
(/ (- (* eps (- eps (* -5 x))) (* -10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* -10 (pow x 2)) (* -5 (* eps x))) (pow eps 2)) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(- (+ 1 (* 10 (/ (pow x 2) (pow eps 2)))) (* -5 (/ x eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps) |
(* (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 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(+ 1 (* -1 (/ (- (* -10 (/ (pow x 2) eps)) (* 5 x)) eps))) |
(* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (pow x 4)) (* 5 eps) (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (/ (* eps eps) x) (* (/ (* eps eps) x) -10) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 6.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (pow x 4)) (* 5 eps) (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (/ (* eps eps) x) (* (/ (* eps eps) x) -10) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 5.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (pow x 4)) (* 5 eps) (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (/ (* eps eps) x) (* (/ (* eps eps) x) -10) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 5.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (pow x 4)) (* 5 eps) (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (/ (* eps eps) x) (* (/ (* eps eps) x) -10) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 5.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (pow x 4)) (* 5 eps) (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) (/ (* -10 (* x x)) (neg eps)) (/ (* eps eps) x) (* (/ (* eps eps) x) -10) (* (neg (- (/ (+ (* 5 x) (/ (* -10 (* x x)) (neg eps))) (neg eps)) 1)) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 342 | 1353 |
| 1 | 1251 | 1232 |
| 2 | 5388 | 1185 |
| 0 | 8198 | 1097 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 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)) |
(/ (pow eps 2) x) |
(* -10 (/ (pow eps 2) x)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* -10 (/ (pow x 2) (pow eps 2))) |
(* -1 (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(/ (+ eps (* 5 x)) eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) (pow eps 2)) |
(/ (- (* eps (- eps (* -5 x))) (* -10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* -10 (pow x 2)) (* -5 (* eps x))) (pow eps 2)) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(- (+ 1 (* 10 (/ (pow x 2) (pow eps 2)))) (* -5 (/ x eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps) |
(* (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 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(+ 1 (* -1 (/ (- (* -10 (/ (pow x 2) eps)) (* 5 x)) eps))) |
(* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (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 x (*.f64 eps eps)) #s(literal 10 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/ x eps) |
(/.f64 x eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(* -5 (/ x eps)) |
(*.f64 #s(literal -5 binary64) (/.f64 x eps)) |
(* x (- (* -10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -5 binary64)) eps) x) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64)) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(* -10 (/ (pow eps 2) x)) |
(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal -5 binary64) x)) eps) (*.f64 x x)) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -5 binary64) eps)) x) (/.f64 #s(literal -10 binary64) (*.f64 eps eps))) x) x) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal -5 binary64) x)) x) x) |
(* -10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal -10 binary64)) |
(* -1 (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal -5 binary64) x)) eps)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) x) x) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (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)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) x) x) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(/ (+ eps (* 5 x)) eps) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) (pow eps 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) eps) |
(/ (- (* eps (- eps (* -5 x))) (* -10 (pow x 2))) (pow eps 2)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) |
(/ (+ (* -10 (pow x 2)) (* -5 (* eps x))) (pow eps 2)) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps)) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x eps) eps)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) eps)) eps)) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (fma.f64 (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))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal -5 binary64) eps)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(- (+ 1 (* 10 (/ (pow x 2) (pow eps 2)))) (* -5 (/ x eps))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 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 (neg.f64 x) (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps)) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #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 -6 binary64) (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x (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 (* (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 (* -1 (/ (- (* -10 (/ (pow x 2) eps)) (* 5 x)) eps))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) |
(* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) |
(*.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps)) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 255 |
| 0 | 61 | 255 |
| 1 | 208 | 249 |
| 2 | 1422 | 249 |
| 0 | 8270 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) |
(*.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))) |
(*.f64 #s(literal 5 binary64) eps) |
(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))) |
(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)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 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))) |
#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)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 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 (pow.f64 eps #s(literal 5 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 (-.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 #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 (*.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 (*.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 (*.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)) #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 (*.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)) (*.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 (+.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)))))) |
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(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (neg.f64 eps))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) eps) |
(/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps)) |
(neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) eps) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) eps)) |
(fma.f64 (/.f64 (neg.f64 (*.f64 #s(literal -10 binary64) x)) (neg.f64 eps)) (/.f64 x eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 #s(literal -10 binary64) x)) eps) (/.f64 (neg.f64 x) eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 (*.f64 #s(literal -10 binary64) (neg.f64 x)) (neg.f64 eps)) (/.f64 x eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 (*.f64 #s(literal -10 binary64) (neg.f64 x)) eps) (/.f64 (neg.f64 x) eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) (neg.f64 eps)) (/.f64 (neg.f64 x) eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 (neg.f64 x) (/.f64 x eps)) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 #s(literal -10 binary64) eps) (/.f64 (*.f64 x x) eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 (*.f64 x x) eps) (/.f64 #s(literal -10 binary64) eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 (neg.f64 x) eps) (/.f64 (*.f64 (neg.f64 x) #s(literal -10 binary64)) eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 (neg.f64 x) eps) (/.f64 (*.f64 #s(literal -10 binary64) x) (neg.f64 eps)) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 x eps)) (/.f64 #s(literal 10 binary64) eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 #s(literal -10 binary64) (/.f64 (/.f64 (*.f64 x x) eps) eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 x eps) (/.f64 (*.f64 (neg.f64 x) #s(literal -10 binary64)) (neg.f64 eps)) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 (/.f64 x eps) (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 (neg.f64 x) eps) (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps))) |
(fma.f64 x (/.f64 #s(literal -5 binary64) eps) (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (neg.f64 eps))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (neg.f64 eps)))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (neg.f64 eps))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 10 binary64) eps) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (neg.f64 eps)))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)))) (neg.f64 eps)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 10 binary64) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)))) (neg.f64 eps))) |
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps)) (/.f64 (*.f64 #s(literal -5 binary64) x) (neg.f64 eps))) |
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) |
(-.f64 (*.f64 x (/.f64 #s(literal -5 binary64) eps)) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 (neg.f64 x) (/.f64 x eps))) (neg.f64 eps))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 #s(literal -5 binary64) eps)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal -5 binary64) eps)) (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps)))))) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1000 binary64)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal -5 binary64) eps)) (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (neg.f64 eps)) (*.f64 eps eps)) (/.f64 (*.f64 (neg.f64 eps) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (*.f64 eps eps))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (neg.f64 eps))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (neg.f64 eps)))) |
(+.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (neg.f64 eps))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (neg.f64 eps)))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) (neg.f64 eps)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 10 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) (neg.f64 eps))) |
(+.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (neg.f64 eps))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (neg.f64 eps)))) |
(+.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (neg.f64 eps))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps))) (neg.f64 eps)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps)) (*.f64 x (/.f64 #s(literal -5 binary64) eps))) |
(+.f64 (*.f64 x (/.f64 #s(literal -5 binary64) eps)) (*.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) eps) (/.f64 x eps))) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 x eps)) #s(literal -10 binary64)) |
(*.f64 (*.f64 #s(literal -10 binary64) x) (/.f64 (neg.f64 x) eps)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps)) |
(*.f64 #s(literal -10 binary64) (*.f64 (neg.f64 x) (/.f64 x eps))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)))) eps) |
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x))) (neg.f64 eps)) |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
(neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) |
(*.f64 (/.f64 eps x) eps) |
(*.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) x)) |
(*.f64 eps (/.f64 eps x)) |
(/.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 x)) |
(/.f64 (*.f64 eps eps) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 eps eps) x) |
(neg.f64 (/.f64 (*.f64 (neg.f64 eps) eps) x)) |
(*.f64 (*.f64 #s(literal -10 binary64) eps) (/.f64 eps x)) |
(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) |
(*.f64 (*.f64 eps eps) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 eps (*.f64 (/.f64 eps x) #s(literal -10 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 eps) eps) #s(literal -10 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -10 binary64) (*.f64 (neg.f64 eps) eps))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) #s(literal -10 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 (neg.f64 eps) eps)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x) |
(*.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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))) |
Compiled 20 599 to 2 475 computations (88% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 502 | 9 | 511 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 505 | 12 | 517 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (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) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| ▶ | 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) (*.f64 x x)) (*.f64 x x))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 5 binary64)) eps)) | |
| ▶ | 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| ▶ | 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
| ▶ | 84.3% | #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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
Compiled 483 to 320 computations (33.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| cost-diff | 3 | (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 362 |
| 0 | 68 | 362 |
| 1 | 139 | 344 |
| 2 | 460 | 318 |
| 3 | 2102 | 314 |
| 4 | 6347 | 312 |
| 0 | 8040 | 307 |
| 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 x x) #s(literal 10 binary64))) (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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x x) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
x |
#s(literal -10 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (neg (- (/ (+ (* 5 x) (/ (* -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 #s(literal 10 binary64) (*.f64 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 x x) #s(literal 10 binary64))) (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 #s(literal 10 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 10 binary64) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 (*.f64 eps x) x) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) |
(*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
x |
#s(literal -10 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 10.182842742465564 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| accuracy | 0.25582755115753775 | (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) | |
| accuracy | 0.3436003336345953 | (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 10.108075513764133 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| accuracy | 12.407358007556958 | (/.f64 (*.f64 eps eps) x) | |
| accuracy | 0.0625 | (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.07259750976844201 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) | |
| accuracy | 0.171875 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 10.230710548268881 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) | |
| accuracy | 0.0 | (*.f64 #s(literal 5 binary64) eps) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) | |
| accuracy | 10.230710548268881 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) | |
| accuracy | 0.078125 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) | |
| accuracy | 0.17012010463040328 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 9.99983693616274 | #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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
| 111.0ms | 178× | 0 | valid |
| 37.0ms | 58× | 1 | valid |
| 17.0ms | 20× | 2 | valid |
Compiled 263 to 44 computations (83.3% saved)
ival-pow: 78.0ms (55.7% of total)ival-mult: 29.0ms (20.7% of total)adjust: 12.0ms (8.6% of total)ival-add: 7.0ms (5% of total)ival-div: 6.0ms (4.3% of total)ival-sub: 4.0ms (2.9% of total)ival-neg: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 x x) #s(literal 10 binary64))) (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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal 5 binary64) eps) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(pow eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
(* 5 (* eps (pow x 4))) |
(pow x 2) |
(* 5 (* eps (pow x 2))) |
(pow x 4) |
(* 5 (pow x 4)) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
eps |
(+ eps (* 5 x)) |
(* 10 (pow x 2)) |
(/ (pow eps 2) x) |
(* -10 (/ (pow eps 2) x)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 x) |
(* x (+ 5 (/ 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)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 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 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 4) |
(* (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 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | 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) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (* (* x x) (* (* x x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* x x) 10) (* 5 eps) (/ (* eps eps) x) (* (/ (* eps eps) x) -10)) |
| 4.0ms | 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) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (* (* x x) (* (* x x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* x x) 10) (* 5 eps) (/ (* eps eps) x) (* (/ (* eps eps) x) -10)) |
| 4.0ms | 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) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (* (* x x) (* (* x x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* x x) 10) (* 5 eps) (/ (* eps eps) x) (* (/ (* eps eps) x) -10)) |
| 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) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (* (* x x) (* (* x x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* x x) 10) (* 5 eps) (/ (* eps eps) x) (* (/ (* eps eps) x) -10)) |
| 3.0ms | 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) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (* (* x x) (* (* x x) (* 5 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* x x) 10) (* 5 eps) (/ (* eps eps) x) (* (/ (* eps eps) x) -10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 329 | 1278 |
| 1 | 1229 | 1151 |
| 2 | 5368 | 1127 |
| 0 | 8727 | 1046 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(pow eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
(* 5 (* eps (pow x 4))) |
(pow x 2) |
(* 5 (* eps (pow x 2))) |
(pow x 4) |
(* 5 (pow x 4)) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
eps |
(+ eps (* 5 x)) |
(* 10 (pow x 2)) |
(/ (pow eps 2) x) |
(* -10 (/ (pow eps 2) x)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 x) |
(* x (+ 5 (/ 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)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 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 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 4) |
(* (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 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* -1 (* eps (- (* -5 (/ 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)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (*.f64 eps eps)) #s(literal 10 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(pow eps 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))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(pow x 2) |
(*.f64 x x) |
(* 5 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) x (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (pow.f64 x #s(literal 3 binary64))) |
eps |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(* -10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 eps (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) x) #s(literal 10 binary64)) (*.f64 x x)) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (/ eps x))) |
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (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)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 eps (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) x) #s(literal 10 binary64)) (*.f64 x x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 5 binary64))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 (*.f64 x (/.f64 x eps)) #s(literal 8 binary64))) 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 (*.f64 x (/.f64 x eps)) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) x)) eps) (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 8 binary64) x) eps) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps) eps) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) 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 (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 (* (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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) (*.f64 eps eps)) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 314 |
| 0 | 68 | 298 |
| 1 | 255 | 280 |
| 2 | 1802 | 280 |
| 0 | 8204 | 275 |
| 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 x x) #s(literal 10 binary64))) (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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal 5 binary64) eps) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 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 #s(literal 10 binary64) (*.f64 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 #s(literal 10 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 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 #s(literal 10 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (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 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (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 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (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 #s(literal 10 binary64) (*.f64 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 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.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 (fma.f64 #s(literal 5 binary64) x eps) eps)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x x)))) (*.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 #s(literal 10 binary64) (*.f64 x x))))))) |
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(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -5 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (*.f64 #s(literal -5 binary64) x) (*.f64 #s(literal -5 binary64) x) (*.f64 eps (*.f64 #s(literal -5 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (*.f64 (neg.f64 x) #s(literal 5 binary64)) (*.f64 eps (*.f64 (neg.f64 x) #s(literal 5 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) (neg.f64 (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 eps eps))) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(fma.f64 x #s(literal 5 binary64) eps) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) (/.f64 (*.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) eps) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (*.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) eps) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(-.f64 eps (*.f64 #s(literal -5 binary64) x)) |
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 5 binary64))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(+.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(+.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps)) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps) |
(*.f64 (neg.f64 eps) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 eps (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 eps)) |
(pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 4 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))))))) |
(fabs.f64 (pow.f64 eps #s(literal 4 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 10 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal -10 binary64) x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal -10 binary64) x)) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 10 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 10 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 (*.f64 #s(literal -10 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (*.f64 #s(literal -10 binary64) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 10 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 10 binary64) x))) |
(*.f64 x (*.f64 #s(literal 10 binary64) x)) |
(neg.f64 (*.f64 (*.f64 #s(literal -10 binary64) x) x)) |
(sqrt.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
(fabs.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 (*.f64 #s(literal -10 binary64) x) x)) |
(*.f64 #s(literal 5 binary64) eps) |
(*.f64 eps #s(literal 5 binary64)) |
(sqrt.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 5 binary64) eps))) |
(fabs.f64 (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (/.f64 eps x) eps) |
(*.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) x)) |
(*.f64 eps (/.f64 eps x)) |
(/.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 x)) |
(/.f64 (*.f64 eps eps) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 eps eps) x) |
(neg.f64 (/.f64 (*.f64 (neg.f64 eps) eps) x)) |
(*.f64 (*.f64 #s(literal -10 binary64) eps) (/.f64 eps x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64)) |
(*.f64 (*.f64 eps eps) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x)) |
(*.f64 eps (*.f64 (/.f64 eps x) #s(literal -10 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 eps) eps) #s(literal -10 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -10 binary64) (*.f64 (neg.f64 eps) eps))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) #s(literal -10 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -10 binary64) (*.f64 (neg.f64 eps) eps)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
Compiled 27 844 to 2 723 computations (90.2% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 672 | 11 | 683 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 679 | 16 | 695 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (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) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| ▶ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) (*.f64 x x)) (*.f64 x x))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) | |
| ▶ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) | |
| ✓ | 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
| ▶ | 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| ▶ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| ▶ | 84.3% | #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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
Compiled 719 to 454 computations (36.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) | |
| cost-diff | 4 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) | |
| cost-diff | 4 | (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 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 #s(literal 10 binary64) (*.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) | |
| cost-diff | 2 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 456 |
| 0 | 74 | 456 |
| 1 | 160 | 444 |
| 2 | 561 | 394 |
| 3 | 2439 | 386 |
| 4 | 6874 | 384 |
| 0 | 8204 | 382 |
| 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 #s(literal 10 binary64) (*.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 x x)) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
| 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 #s(literal 10 binary64) (*.f64 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 x x) #s(literal 10 binary64)))))) |
#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 #s(literal 10 binary64) (*.f64 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 x x) #s(literal 10 binary64))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(*.f64 x x) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x x) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(*.f64 x x) |
x |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 x x)) |
(*.f64 (*.f64 x x) eps) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.20703125 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) | |
| accuracy | 0.3436003336345953 | (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 10.108075513764133 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) | |
| accuracy | 0.12679465476030194 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) | |
| accuracy | 10.182842742465564 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) | |
| accuracy | 0.046875 | (*.f64 eps (*.f64 x x)) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) | |
| accuracy | 0.15757753907376806 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| accuracy | 10.230710548268881 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) | |
| accuracy | 0.171875 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.3436003336345953 | (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 10.108075513764133 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| accuracy | 27.93251842154121 | #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps) | |
| accuracy | 0.17012010463040328 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 0.2016727253133728 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) | |
| accuracy | 9.99983693616274 | #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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
| 98.0ms | 178× | 0 | valid |
| 74.0ms | 58× | 1 | valid |
| 17.0ms | 20× | 2 | valid |
Compiled 307 to 45 computations (85.3% saved)
ival-mult: 80.0ms (59.2% of total)ival-pow: 15.0ms (11.1% of total)adjust: 12.0ms (8.9% of total)ival-add: 12.0ms (8.9% of total)ival-div: 8.0ms (5.9% of total)ival-sub: 4.0ms (3% of total)ival-neg: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 #s(literal 10 binary64) (*.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps eps) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
| 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)) |
(pow x 4) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 2)) |
(pow x 2) |
(pow eps 3) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
eps |
(+ eps (* 5 x)) |
(* 10 (pow x 2)) |
(* eps (pow x 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (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)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (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)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* (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 (* 10 (/ eps x)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(pow eps 2) |
(* (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 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ 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) (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | x | @ | 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)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* (* x x) 5) (* eps (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* 10 (* x x)) (* eps (* x x)) (* eps eps) (* (+ (* (/ eps x) 10) 5) eps)) |
| 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)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* (* x x) 5) (* eps (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* 10 (* x x)) (* eps (* x x)) (* eps eps) (* (+ (* (/ eps x) 10) 5) eps)) |
| 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)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* (* x x) 5) (* eps (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* 10 (* x x)) (* eps (* x x)) (* eps eps) (* (+ (* (/ eps x) 10) 5) eps)) |
| 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)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* (* x x) 5) (* eps (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* 10 (* x x)) (* eps (* x x)) (* eps eps) (* (+ (* (/ eps x) 10) 5) eps)) |
| 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)) (* (* x x) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* (* x x) 5) (* eps (* x x))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* (* x x) (* x x))) (- (* 5 eps) (* (/ (* eps eps) x) -10)) (* 10 (* x x)) (* eps (* x x)) (* eps eps) (* (+ (* (/ eps x) 10) 5) eps)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 1401 |
| 1 | 1312 | 1282 |
| 2 | 5680 | 1256 |
| 0 | 8011 | 1168 |
| 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)) |
(pow x 4) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 2)) |
(pow x 2) |
(pow eps 3) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
eps |
(+ eps (* 5 x)) |
(* 10 (pow x 2)) |
(* eps (pow x 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (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)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (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)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* (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 (* 10 (/ eps x)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(pow eps 2) |
(* (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 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ 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) (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 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 (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 x #s(literal 10 binary64)) (*.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))) |
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* 5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow eps 3) |
(pow.f64 eps #s(literal 3 binary64)) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
eps |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* eps (pow x 2)) |
(*.f64 (*.f64 x x) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/.f64 (fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) (*.f64 x x)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x)) x)) (*.f64 x x)) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (/ eps x))) |
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) x) x) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (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)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x))) x) x) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -5 binary64) eps) eps (/.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) x))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 5 binary64))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps)) eps) |
(* 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps)) eps) |
(* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(pow eps 2) |
(*.f64 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))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64))) eps)) (pow.f64 eps #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 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 8 binary64) (*.f64 #s(literal 5 binary64) x)) 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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 6 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 8 binary64) x) eps)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 4) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64))) eps)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) eps) eps) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (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 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 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))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64))) eps)) (pow.f64 eps #s(literal 4 binary64))) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (*.f64 (/.f64 x eps) #s(literal -5 binary64)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 393 |
| 0 | 74 | 383 |
| 1 | 283 | 357 |
| 2 | 1983 | 357 |
| 0 | 8803 | 349 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 #s(literal 10 binary64) (*.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 eps eps) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) 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 x x) #s(literal 10 binary64)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps) |
(*.f64 (*.f64 eps eps) (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 eps (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 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)))) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 #s(literal -10 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 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 x x) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.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 #s(literal -10 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 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 x x) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.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 x x) #s(literal 10 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 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) |
(*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) |
(*.f64 eps (*.f64 (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))))))) |
(/.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 #s(literal -10 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 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 x x) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.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 #s(literal -10 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.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 #s(literal -10 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 3 binary64))) (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.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 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))))) (fma.f64 (fma.f64 x #s(literal 5 binary64) eps) eps (*.f64 #s(literal -10 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 eps eps) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.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)))) |
(fma.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64)))) |
(fma.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(fma.f64 eps (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(fma.f64 eps (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64)))) |
(+.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps eps))) |
(+.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) |
(fabs.f64 (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) |
(fabs.f64 (pow.f64 x #s(literal 4 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) x) x) |
(*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) x) |
(*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 eps #s(literal 5 binary64))) x) (pow.f64 x #s(literal 3 binary64))) |
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(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 eps #s(literal 5 binary64))))) |
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(/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64)))))) |
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (*.f64 x #s(literal 5 binary64))) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 5 binary64))) |
(fma.f64 x #s(literal 5 binary64) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 eps (*.f64 x #s(literal 5 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 5 binary64))) |
(-.f64 eps (*.f64 #s(literal -5 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) eps))))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) eps))))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64)))))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64)))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(+.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(+.f64 eps (*.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) x) x) |
(*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 3 binary64))) x) |
(*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))) |
(*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps))) |
(*.f64 (*.f64 x x) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x))) |
(*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))) |
#s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 10 binary64) (neg.f64 x))) x) |
(*.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal -10 binary64) x))) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal -10 binary64) x)) x) |
(*.f64 (fabs.f64 (*.f64 #s(literal 10 binary64) x)) x) |
(*.f64 (*.f64 #s(literal 10 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 (*.f64 #s(literal -10 binary64) x)) x) |
(*.f64 (*.f64 #s(literal -10 binary64) x) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -10 binary64)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 10 binary64))) |
(*.f64 #s(literal -10 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 10 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 10 binary64) x))) |
(*.f64 x (*.f64 #s(literal 10 binary64) x)) |
(neg.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(fabs.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 (*.f64 eps (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 eps x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) eps)) |
(*.f64 (*.f64 x x) eps) |
(*.f64 eps (*.f64 x x)) |
(*.f64 x (*.f64 eps x)) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 eps eps) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 eps) eps)) |
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 eps) eps)) |
(fabs.f64 (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps) #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps) (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps) (*.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64))) (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64))) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64))) (*.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps) (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps))))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64))) (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal 25 binary64)) eps)) (neg.f64 (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) eps)) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal 25 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal 25 binary64)) eps) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) eps) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64))))) |
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal 25 binary64))) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64))) |
(/.f64 (*.f64 eps (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64))))) |
(fma.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps (*.f64 eps #s(literal 5 binary64))) |
(fma.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) |
(fma.f64 #s(literal 5 binary64) eps (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps)) |
(fma.f64 #s(literal 5 binary64) eps (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps) (*.f64 eps #s(literal 5 binary64))) |
(+.f64 (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64))) (*.f64 eps #s(literal 5 binary64))) |
(+.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps)) |
(+.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) |
Compiled 25 324 to 2 514 computations (90.1% saved)
19 alts after pruning (12 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 599 | 9 | 608 |
| Fresh | 5 | 3 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 2 | 3 |
| Total | 605 | 19 | 624 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (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) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 eps))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) | |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 eps eps)) (*.f64 eps eps))) | |
| 68.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) | |
| 78.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal 25 binary64)) eps) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| ✓ | 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| 68.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) | |
| ✓ | 84.3% | #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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
| 69.0% | #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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
Compiled 1 484 to 540 computations (63.6% saved)
| 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 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #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 (* (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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) |
#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 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal 25 binary64)) eps) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(-.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))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 27.0ms | x |
| 9.0ms | eps |
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 98.8% | 3 | x |
| 97.6% | 3 | eps |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #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 (* (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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) |
#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 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal 25 binary64)) eps) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| Outputs |
|---|
#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 (*.f64 (pow.f64 x #s(literal 4 binary64)) 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)))) |
1 calls:
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #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 (* (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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) |
| 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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) |
#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)) (pow.f64 eps #s(literal 5 binary64))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #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)))) |
| 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) 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)) (pow.f64 eps #s(literal 5 binary64))) |
1 calls:
| 130.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
1 calls:
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
1 calls:
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| 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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) |
1 calls:
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
2 calls:
| 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 |
|---|---|---|
| 98.3% | 3 | x |
| 98.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (neg.f64 x)) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
1 calls:
| 13.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
1 calls:
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x) x) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) |
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 |
|---|---|---|
| 83.9% | 1 | eps |
| 83.9% | 1 | x |
| 83.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| 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 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
3 calls:
| 3.0ms | eps |
| 3.0ms | x |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 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)) #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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
3 calls:
| 2.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 1 | eps |
| 83.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.9% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| 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 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.9% | 1 | x |
| 83.9% | 1 | eps |
Compiled 11 to 11 computations (0% saved)
Total -0.1b remaining (-0.7%)
Threshold costs -0.1b (-0.7%)
| 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 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps)) (*.f64 eps 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 #s(approx (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 1 | eps |
| 69.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 69.0% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.2498402192412616e-286 |
| 0.0ms | -4.8644998971447364e-304 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 1023 |
| 1 | 206 | 1023 |
| 2 | 428 | 1011 |
| 3 | 1310 | 999 |
| 4 | 4315 | 993 |
| 5 | 7108 | 993 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) 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)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #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)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #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)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) 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)))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #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 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 x x) #s(literal 10 binary64))) (pow.f64 eps #s(literal 3 binary64))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #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)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #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)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #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 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #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 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (neg.f64 eps)) (neg.f64 eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 x #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (- (* 5 eps) (* (/ (* eps eps) x) -10)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#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 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64)) eps)) eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 393 |
| 0 | 74 | 383 |
| 1 | 283 | 357 |
| 2 | 1983 | 357 |
| 0 | 8803 | 349 |
| 0 | 48 | 314 |
| 0 | 68 | 298 |
| 1 | 255 | 280 |
| 2 | 1802 | 280 |
| 0 | 8204 | 275 |
| 0 | 245 | 963 |
| 1 | 900 | 862 |
| 2 | 4071 | 694 |
| 0 | 8439 | 658 |
| 0 | 351 | 1401 |
| 1 | 1312 | 1282 |
| 2 | 5680 | 1256 |
| 0 | 8011 | 1168 |
| 0 | 342 | 1353 |
| 1 | 1251 | 1232 |
| 2 | 5388 | 1185 |
| 0 | 8198 | 1097 |
| 0 | 37 | 255 |
| 0 | 61 | 255 |
| 1 | 208 | 249 |
| 2 | 1422 | 249 |
| 0 | 8270 | 246 |
| 0 | 329 | 1278 |
| 1 | 1229 | 1151 |
| 2 | 5368 | 1127 |
| 0 | 8727 | 1046 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 019 to 131 computations (87.1% saved)
Compiled 2 056 to 276 computations (86.6% saved)
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