
Time bar (total: 9.1s)
| 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)
| 1.4s | 6 739× | 0 | valid |
| 1.1s | 1 217× | 1 | valid |
| 478.0ms | 300× | 2 | valid |
ival-pow: 1.2s (50.7% of total)ival-<=: 942.0ms (39.6% of total)ival-add: 83.0ms (3.5% of total)adjust: 57.0ms (2.4% of total)ival-sub: 46.0ms (1.9% of total)ival-and: 23.0ms (1% of total)exact: 19.0ms (0.8% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 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 | 30 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 0 |
| - | 0 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 0 |
| - | 0 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 45.0ms | 412× | 0 | valid |
| 44.0ms | 76× | 1 | valid |
| 5.0ms | 24× | 2 | valid |
Compiled 82 to 32 computations (61% saved)
ival-pow: 52.0ms (65.4% of total)ival-add: 20.0ms (25.2% of total)adjust: 3.0ms (3.8% of total)ival-sub: 3.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 39 | 49 |
| 2 | 87 | 47 |
| 3 | 164 | 47 |
| 4 | 291 | 47 |
| 5 | 432 | 47 |
| 6 | 531 | 47 |
| 7 | 578 | 47 |
| 8 | 629 | 47 |
| 9 | 645 | 47 |
| 10 | 653 | 47 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 14 | 9 |
| 2 | 19 | 9 |
| 3 | 25 | 9 |
| 4 | 33 | 9 |
| 5 | 48 | 9 |
| 6 | 81 | 9 |
| 7 | 109 | 9 |
| 8 | 157 | 9 |
| 9 | 173 | 9 |
| 10 | 181 | 9 |
| 0 | 181 | 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 |
|---|---|---|
| ▶ | 89.9% | (-.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 | 14 | 23 |
| 2 | 19 | 23 |
| 3 | 25 | 23 |
| 4 | 33 | 23 |
| 5 | 48 | 23 |
| 6 | 81 | 23 |
| 7 | 109 | 23 |
| 8 | 157 | 23 |
| 9 | 173 | 23 |
| 10 | 181 | 23 |
| 0 | 181 | 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 | 0.00390625 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 6.469050735728081 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 14.0ms | 206× | 0 | valid |
| 6.0ms | 38× | 1 | valid |
| 4.0ms | 12× | 2 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-pow: 10.0ms (61.3% of total)adjust: 2.0ms (12.3% of total)ival-add: 2.0ms (12.3% of total)exact: 2.0ms (12.3% of total)ival-sub: 1.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(pow x 5) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 959 |
| 1 | 817 | 859 |
| 2 | 2844 | 712 |
| 0 | 8421 | 666 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(pow x 5) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (*.f64 (/.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 eps x) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (/.f64 eps x))))) (pow.f64 x #s(literal 5 binary64))) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 (/.f64 eps x) x x) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 (/.f64 eps x) x x) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64))) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 (/.f64 x eps) eps eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3553 | 20 |
| 0 | 9387 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 30 binary64)))) (fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 x #s(literal 20 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 30 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) (pow.f64 x #s(literal 20 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 30 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 45 binary64)) (pow.f64 x #s(literal 45 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 15 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 eps x) #s(literal 30 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 eps x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps)))) (neg.f64 (pow.f64 (-.f64 x eps) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 (neg.f64 eps) eps))) (pow.f64 (-.f64 x eps) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x eps)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 x eps)) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 (neg.f64 eps) eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (*.f64 (neg.f64 eps) eps))) (*.f64 (-.f64 x eps) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) #s(literal 1 binary64))) (*.f64 (-.f64 x eps) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 eps eps (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (-.f64 x eps) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 eps x))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (+.f64 eps x))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(+.f64 eps x) |
(+.f64 x eps) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) |
Compiled 9 613 to 1 230 computations (87.2% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 5 | 313 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 308 | 6 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 89.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 89.6% | #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)))) |
| ▶ | 84.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
| ▶ | 75.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| ▶ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
Compiled 217 to 157 computations (27.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) | |
| cost-diff | 128 | (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| 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 | 36 | 290 |
| 0 | 60 | 290 |
| 1 | 99 | 280 |
| 2 | 198 | 272 |
| 3 | 467 | 272 |
| 4 | 1081 | 272 |
| 5 | 2047 | 272 |
| 6 | 3681 | 272 |
| 7 | 4946 | 272 |
| 8 | 7397 | 272 |
| 0 | 8018 | 261 |
| 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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.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))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(*.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (/.f64 x eps)) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.234375 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) | |
| accuracy | 6.549713032205403 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 12.543832598683903 | (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 14.537322915132377 | (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) | |
| accuracy | 0.06640625 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.16532003162065376 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 9.963739055735642 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 13.30137848458511 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.04296875 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.07650375976844201 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 9.988325459768216 | #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 | 6.7034403528508415 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.0 | (/.f64 x eps) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.23131574749489087 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 6.640863827733116 | #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)))) |
| 88.0ms | 187× | 0 | valid |
| 23.0ms | 51× | 1 | valid |
| 11.0ms | 18× | 2 | valid |
Compiled 531 to 73 computations (86.3% saved)
ival-mult: 32.0ms (32.1% of total)ival-neg: 24.0ms (24.1% of total)ival-pow: 18.0ms (18.1% of total)ival-div: 10.0ms (10% of total)ival-add: 7.0ms (7% of total)adjust: 5.0ms (5% of total)ival-sub: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
| 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)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 10 (/ (pow x 2) eps)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 5 (/ x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 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)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 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))))) |
(* 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))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(* -10 (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)))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | 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) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps)) |
| 7.0ms | 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) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps)) |
| 5.0ms | 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) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps)) |
| 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) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps)) |
| 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) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1335 |
| 1 | 1061 | 1223 |
| 2 | 3527 | 1054 |
| 3 | 7565 | 1054 |
| 0 | 8003 | 983 |
| 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)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 10 (/ (pow x 2) eps)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 5 (/ x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 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)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 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))))) |
(* 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))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(* -10 (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)))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(*.f64 (fma.f64 (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)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
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 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))) |
(* 5 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) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x #s(literal 1 binary64)) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 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))) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64))) |
(* 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 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 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))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) x) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (*.f64 (/.f64 (/.f64 x eps) eps) x) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (/.f64 (/.f64 #s(literal 5 binary64) x) eps)) x) x) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (/.f64 (/.f64 #s(literal 5 binary64) x) eps)) x) x #s(literal 1 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 x (fma.f64 (*.f64 #s(literal 10 binary64) x) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 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 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 10 binary64) x) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.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 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* (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) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (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) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) eps) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) |
(* -10 (pow eps 2)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) (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 (/.f64 (/.f64 x eps) eps) x) #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (/.f64 x eps) eps) x) #s(literal 8 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 (/.f64 x eps) eps) x) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 x eps))))) (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) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x #s(literal 1 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -10 binary64) (*.f64 (/.f64 x eps) x) (*.f64 #s(literal -5 binary64) 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)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -10 binary64) (*.f64 (/.f64 x eps) x) (*.f64 #s(literal -5 binary64) x)) eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(/.f64 (fma.f64 #s(literal -10 binary64) (*.f64 (/.f64 x eps) x) (*.f64 #s(literal -5 binary64) x)) (neg.f64 eps)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 246 |
| 0 | 60 | 246 |
| 1 | 216 | 236 |
| 2 | 1600 | 236 |
| 0 | 8518 | 236 |
| 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)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
| 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 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 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 (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64))))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64))))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 eps) #s(literal 5 binary64)) (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))))) |
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(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))) eps) (/.f64 (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))) eps)) |
(-.f64 (/.f64 #s(literal 0 binary64) eps) (/.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (neg.f64 eps))) |
(-.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) eps)) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) #s(literal -1 binary64))) |
Compiled 19 686 to 2 550 computations (87% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 585 | 9 | 594 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 588 | 12 | 600 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 89.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 89.7% | #s(approx (- (pow (+ x eps) 5) (pow x 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)))) |
| ▶ | 89.6% | #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)))) |
| ▶ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| ✓ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| ▶ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| ▶ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
| 84.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
Compiled 477 to 318 computations (33.3% 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 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) | |
| cost-diff | 384 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| cost-diff | 0 | (*.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 | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| 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 | 0 | (fma.f64 #s(literal 5 binary64) x 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 (- (pow (+ x eps) 5) (pow x 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 | 36 | 301 |
| 0 | 58 | 301 |
| 1 | 104 | 279 |
| 2 | 241 | 258 |
| 3 | 589 | 258 |
| 4 | 1664 | 258 |
| 5 | 3340 | 258 |
| 6 | 6768 | 258 |
| 0 | 8296 | 255 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(*.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)) (*.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 (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 eps x) (*.f64 #s(literal 5 binary64) x)) |
(*.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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(*.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 | 0.0390625 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 6.640863827733116 | #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 | 0.12890625 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.16532003162065376 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 9.963739055735642 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| accuracy | 13.30137848458511 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| accuracy | 0.04296875 | (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.07650375976844201 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 9.988325459768216 | #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 | 0.04296875 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) | |
| accuracy | 9.988325459768216 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) | |
| accuracy | 0.0546875 | (*.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 | 0.18058132300974952 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 6.549713032205403 | #s(approx (- (pow (+ x eps) 5) (pow x 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)))) |
| 57.0ms | 191× | 0 | valid |
| 22.0ms | 45× | 1 | valid |
| 12.0ms | 20× | 2 | valid |
Compiled 544 to 72 computations (86.8% saved)
ival-pow: 28.0ms (42.3% of total)ival-mult: 22.0ms (33.3% of total)ival-add: 6.0ms (9.1% of total)adjust: 5.0ms (7.6% of total)ival-div: 2.0ms (3% of total)ival-sub: 2.0ms (3% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% 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 (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(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 #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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.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))) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 eps eps) #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)) |
eps |
(+ eps (* 5 x)) |
(pow x 2) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (pow x 2)) |
(pow x 4) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 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 x) |
(* x (+ 5 (/ eps x))) |
(* (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))) |
(* (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 (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 4) |
(* -10 (pow eps 2)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 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)))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -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 | |
|---|---|---|---|---|
| 14.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (pow eps 4) (* (* x x) 10) (* (* x x) (* (* x x) (* 5 eps))) (* (* x x) (* x x)) (* (* eps eps) -10)) |
| 3.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (pow eps 4) (* (* x x) 10) (* (* x x) (* (* x x) (* 5 eps))) (* (* x x) (* x x)) (* (* eps eps) -10)) |
| 3.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (pow eps 4) (* (* x x) 10) (* (* x x) (* (* x x) (* 5 eps))) (* (* x x) (* x x)) (* (* eps eps) -10)) |
| 3.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (pow eps 4) (* (* x x) 10) (* (* x x) (* (* x x) (* 5 eps))) (* (* x x) (* x x)) (* (* eps eps) -10)) |
| 3.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (pow eps 3)) (+ (* (+ (* 5 x) eps) eps) (* (* x x) 10)) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* x x) (* (* x x) (* 5 eps)) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (pow eps 4) (* (* x x) 10) (* (* x x) (* (* x x) (* 5 eps))) (* (* x x) (* x x)) (* (* eps eps) -10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 327 | 1306 |
| 1 | 1099 | 1194 |
| 2 | 3679 | 1035 |
| 0 | 8298 | 971 |
| 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)) |
eps |
(+ eps (* 5 x)) |
(pow x 2) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (pow x 2)) |
(pow x 4) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 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 x) |
(* x (+ 5 (/ eps x))) |
(* (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))) |
(* (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 (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 4) |
(* -10 (pow eps 2)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 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)))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -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)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
eps |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(pow x 2) |
(*.f64 x x) |
(* 5 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 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) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (+.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x) (*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 8 binary64))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64))) |
(* 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 x (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (/.f64 (*.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))) |
(* (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 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 10 binary64)) (*.f64 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) (+ (* 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) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 x))) (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 x (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (/.f64 (*.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))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -5 binary64) (/.f64 eps x))) |
(* -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) |
(* 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 (*.f64 x x) #s(literal 10 binary64)) 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 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.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 (+ 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 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 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 (fma.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) eps) (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps) eps) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) eps) (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (*.f64 eps eps)) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 5 binary64) eps)) eps) eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) #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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) eps) eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 254 |
| 0 | 58 | 238 |
| 1 | 194 | 218 |
| 2 | 1251 | 215 |
| 0 | 8289 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 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(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 #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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.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))) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 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 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal -10 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal -10 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.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)))) |
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(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (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 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps))) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (pow.f64 eps #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 4 binary64)) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) |
(/.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps (pow.f64 eps #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) eps (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 eps (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps) |
(*.f64 eps (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 eps)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(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 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x (*.f64 #s(literal 10 binary64) x)) |
(neg.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) eps)) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) eps))) |
(neg.f64 (*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 5 binary64) eps)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (pow.f64 x #s(literal 3 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 (neg.f64 x) (pow.f64 x #s(literal 3 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 x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 eps) eps)) #s(literal -10 binary64)) |
(*.f64 (neg.f64 (neg.f64 eps)) (*.f64 #s(literal -10 binary64) eps)) |
(*.f64 (*.f64 (neg.f64 eps) eps) #s(literal 10 binary64)) |
(*.f64 (neg.f64 eps) (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 (*.f64 #s(literal -10 binary64) eps) eps) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -10 binary64) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) |
(*.f64 #s(literal -10 binary64) (neg.f64 (*.f64 (neg.f64 eps) eps))) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 (neg.f64 eps) eps)) |
(*.f64 eps (neg.f64 (*.f64 #s(literal 10 binary64) eps))) |
(*.f64 eps (*.f64 #s(literal -10 binary64) eps)) |
(neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
Compiled 22 795 to 2 458 computations (89.2% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 659 | 9 | 668 |
| Fresh | 4 | 0 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 2 | 3 |
| Total | 669 | 11 | 680 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 89.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 89.5% | #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)))) | |
| 84.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) | |
| ▶ | 89.6% | #s(approx (- (pow (+ x eps) 5) (pow x 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)) |
| ▶ | 89.5% | #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))) |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) | |
| ▶ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
| ▶ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) | |
| ▶ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
Compiled 448 to 287 computations (35.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) | |
| cost-diff | 320 | (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x) | |
| cost-diff | 704 | (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| 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 | 0 | (*.f64 eps (*.f64 x x)) | |
| 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 | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| cost-diff | 0 | #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.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) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.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 (- (pow (+ x eps) 5) (pow x 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 371 |
| 0 | 66 | 371 |
| 1 | 139 | 347 |
| 2 | 333 | 321 |
| 3 | 776 | 317 |
| 4 | 2140 | 317 |
| 5 | 3832 | 316 |
| 0 | 8112 | 315 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 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) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.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 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) |
(*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) |
(*.f64 eps (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) |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 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 (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) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.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) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.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 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) x) |
(*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
eps |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) | |
| accuracy | 0.2109375 | (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) | |
| accuracy | 3.592589935903473 | (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) | |
| accuracy | 9.963739055735642 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) | |
| accuracy | 0.11328125 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) | |
| accuracy | 6.640863827733116 | #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 | 0.02734375 | (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) | |
| accuracy | 0.06640625 | (*.f64 eps (*.f64 x x)) | |
| accuracy | 0.1653900390737681 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| accuracy | 9.988325459768216 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x)))) | |
| accuracy | 0.06640625 | (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 9.963739055735642 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| accuracy | 33.09986792854939 | #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) | |
| accuracy | 0.04296875 | (*.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 | 0.109375 | (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) | |
| accuracy | 0.18058132300974952 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 6.549713032205403 | #s(approx (- (pow (+ x eps) 5) (pow x 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)) |
| 64.0ms | 191× | 0 | valid |
| 30.0ms | 45× | 1 | valid |
| 12.0ms | 20× | 2 | valid |
Compiled 666 to 82 computations (87.7% saved)
ival-mult: 55.0ms (65.4% of total)ival-pow: 11.0ms (13.1% of total)ival-add: 7.0ms (8.3% of total)adjust: 5.0ms (5.9% of total)ival-div: 4.0ms (4.8% of total)ival-sub: 2.0ms (2.4% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 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)) |
(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(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) eps) |
#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 eps (*.f64 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))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
(*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
(*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(*.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))) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(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 eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
eps |
(+ eps (* 5 x)) |
(* 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 (pow x 2)) |
(pow x 2) |
(* eps (pow x 2)) |
(pow eps 3) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (pow x 2)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(pow x 4) |
(* 5 (* eps (pow x 4))) |
(* 10 (/ eps x)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 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 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 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))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
5 |
(+ 5 (* 10 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* 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))))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 4) (+ 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 4) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 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)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -5 (/ 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))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* eps (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (* eps eps) (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (* (* (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* eps (+ (* (/ eps x) 10) 5)) (* 10 (* x x)) (* (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) eps) (* (* x x) (* x x)) (* (* (* x x) 5) (* eps (* x x))) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (+ (* (/ eps x) 10) 5)) |
| 9.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* eps (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (* eps eps) (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (* (* (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* eps (+ (* (/ eps x) 10) 5)) (* 10 (* x x)) (* (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) eps) (* (* x x) (* x x)) (* (* (* x x) 5) (* eps (* x x))) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (+ (* (/ eps x) 10) 5)) |
| 4.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* eps (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (* eps eps) (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (* (* (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* eps (+ (* (/ eps x) 10) 5)) (* 10 (* x x)) (* (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) eps) (* (* x x) (* x x)) (* (* (* x x) 5) (* eps (* x x))) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (+ (* (/ eps x) 10) 5)) |
| 4.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* eps (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (* eps eps) (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (* (* (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* eps (+ (* (/ eps x) 10) 5)) (* 10 (* x x)) (* (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) eps) (* (* x x) (* x x)) (* (* (* x x) 5) (* eps (* x x))) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (+ (* (/ eps x) 10) 5)) |
| 3.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* eps (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* eps eps)) (* eps eps) (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (* (* (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* eps (+ (* (/ eps x) 10) 5)) (* 10 (* x x)) (* (* (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (* eps eps)) eps) (* (* x x) (* x x)) (* (* (* x x) 5) (* eps (* x x))) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (+ (* (/ eps x) 10) 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 1672 |
| 1 | 1324 | 1539 |
| 2 | 4366 | 1362 |
| 3 | 7464 | 1362 |
| 0 | 8102 | 1273 |
| 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)) |
(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 eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
eps |
(+ eps (* 5 x)) |
(* 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 (pow x 2)) |
(pow x 2) |
(* eps (pow x 2)) |
(pow eps 3) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (pow x 2)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(pow x 4) |
(* 5 (* eps (pow x 4))) |
(* 10 (/ eps x)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 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 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 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))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
5 |
(+ 5 (* 10 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* 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))))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 4) (+ 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 4) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 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)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -5 (/ 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))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) eps (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(+ (* 5 (* (pow eps 3) x)) (pow eps 4)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 3 binary64))) |
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps) eps) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
eps |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(* 5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* eps (pow x 2)) |
(*.f64 (*.f64 x x) eps) |
(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) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* 10 (/ eps x)) |
(*.f64 (/.f64 eps x) #s(literal 10 binary64)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(/.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) 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 #s(literal 10 binary64) (*.f64 eps eps))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 4) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 5 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) eps) eps (/.f64 (/.f64 (pow.f64 eps #s(literal 4 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 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 10 binary64)) (*.f64 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) (+ (* 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 2) x)) |
(*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) eps) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(*.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x) |
(* 5 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (/.f64 (pow.f64 eps #s(literal 5 binary64)) x) x))) (*.f64 x x)) |
(* 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 |
#s(literal 5 binary64) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 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) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x)) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -5 binary64) (/.f64 eps x))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(*.f64 (*.f64 (*.f64 eps eps) (+.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 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (/.f64 (pow.f64 eps #s(literal 5 binary64)) x) x))) (*.f64 x x)) |
(* -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) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* (pow eps 2) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps) eps) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
(* 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 2) (+ eps (* 5 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) 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 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (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)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) eps) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps)) (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) x) eps) (/.f64 x eps) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 6 binary64) (/.f64 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 (fma.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) eps) (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) eps) (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (*.f64 eps eps)) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps) |
(* (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 (fma.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) eps) (/.f64 x eps) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) #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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x)) eps)) eps) eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) x) eps)) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(*.f64 (*.f64 (neg.f64 eps) eps) (-.f64 (*.f64 #s(literal -5 binary64) x) eps)) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 321 |
| 0 | 66 | 315 |
| 1 | 240 | 277 |
| 2 | 1544 | 277 |
| 0 | 8405 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 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)) |
(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(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) eps) |
#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 eps (*.f64 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))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
(*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
(*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(*.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))) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 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 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 eps eps)) (pow.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal -10 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))) (*.f64 eps eps)) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)) (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal -10 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) |
(*.f64 (*.f64 eps eps) (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 (*.f64 x x) #s(literal 10 binary64))) (*.f64 eps eps)) |
(*.f64 eps (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 100 binary64) #s(literal -25 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)) #s(literal 25 binary64))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)))) |
(/.f64 (-.f64 #s(literal 25 binary64) (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 100 binary64) #s(literal -25 binary64))) (neg.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64))) (neg.f64 (+.f64 #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 100 binary64) #s(literal -25 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))) (-.f64 #s(literal 25 binary64) (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) (+.f64 #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 eps x) #s(literal 50 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64))))) |
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) |
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 10 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 5 binary64)) |
(fma.f64 (*.f64 #s(literal 10 binary64) (neg.f64 eps)) (/.f64 #s(literal -1 binary64) x) #s(literal 5 binary64)) |
(fma.f64 (/.f64 (neg.f64 eps) x) #s(literal -10 binary64) #s(literal 5 binary64)) |
(fma.f64 (/.f64 #s(literal -10 binary64) x) (*.f64 eps #s(literal -1 binary64)) #s(literal 5 binary64)) |
(fma.f64 (*.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) x) #s(literal 5 binary64)) |
(fma.f64 (neg.f64 (*.f64 #s(literal 10 binary64) eps)) (/.f64 #s(literal -1 binary64) x) #s(literal 5 binary64)) |
(fma.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 eps #s(literal 1 binary64)) #s(literal 5 binary64)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (pow.f64 x #s(literal -1 binary64)) #s(literal 5 binary64)) |
(fma.f64 (*.f64 #s(literal -10 binary64) eps) (/.f64 #s(literal -1 binary64) x) #s(literal 5 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 25 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(fma.f64 #s(literal -10 binary64) (/.f64 (neg.f64 eps) x) #s(literal 5 binary64)) |
(fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)) |
(fma.f64 eps (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 10 binary64)) #s(literal 5 binary64)) |
(fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) |
(-.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))) (/.f64 #s(literal 25 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))) (neg.f64 (/.f64 #s(literal 25 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))))) |
(+.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) |
(+.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))) |
Compiled 23 212 to 2 928 computations (87.4% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 619 | 8 | 627 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 623 | 15 | 638 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 89.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 84.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) | |
| 89.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) eps)) | |
| ✓ | 89.5% | #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))) |
| 89.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) | |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) x) x)) | |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 x x))) | |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps x)) x)) | |
| ✓ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
| 74.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 10 binary64)) (*.f64 x x))) (*.f64 eps eps)) eps)) | |
| 89.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) | |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) x) x)) | |
| 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) | |
| 89.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 eps eps))) |
Compiled 1 172 to 418 computations (64.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.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 (*.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 eps x)) x)) |
#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) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) 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 #s(approx (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 10 binary64)) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
#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 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 18.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 9.0ms | eps |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.6% | 3 | eps |
| 99.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.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 (*.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 eps x)) x)) |
#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) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) 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 #s(approx (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 10 binary64)) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 21.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 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)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.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 (*.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 eps x)) x)) |
#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) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) 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 #s(approx (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 10 binary64)) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 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)))) |
2 calls:
| 8.0ms | 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 | eps |
| 99.6% | 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)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.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 (*.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 eps x)) x)) |
#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) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) 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 #s(approx (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 10 binary64)) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#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 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) |
1 calls:
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 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)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.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 (*.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 eps x)) x)) |
#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) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) 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 #s(approx (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 10 binary64)) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#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 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) |
2 calls:
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 7.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | eps |
| 99.5% | 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)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.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 (*.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 eps x)) x)) |
#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) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) 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 #s(approx (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 10 binary64)) (*.f64 x x))) (*.f64 eps eps)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) 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 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) |
2 calls:
| 6.0ms | eps |
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | eps |
| 99.5% | 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)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.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 (*.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 eps x)) x)) |
#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) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) 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 #s(approx (* (* eps (+ (* (/ eps x) 10) 5)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) x) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) 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 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
2 calls:
| 7.0ms | eps |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | eps |
| 99.3% | 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)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.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 (*.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 eps x)) x)) |
#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) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) x) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) 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 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
2 calls:
| 3.0ms | eps |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | eps |
| 99.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
2 calls:
| 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 |
|---|---|---|
| 98.7% | 3 | x |
| 99.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
3 calls:
| 1.0ms | eps |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 1 | x |
| 89.4% | 1 | eps |
| 89.4% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.24005572478871e-291 |
| 0.0ms | -1.494473051711424e-306 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 855 |
| 1 | 131 | 854 |
| 2 | 187 | 852 |
| 3 | 332 | 852 |
| 4 | 493 | 852 |
| 5 | 626 | 852 |
| 6 | 903 | 852 |
| 7 | 1716 | 852 |
| 8 | 2818 | 852 |
| 9 | 5000 | 852 |
| 10 | 6532 | 852 |
| 11 | 7310 | 852 |
| 12 | 7880 | 852 |
| 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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #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 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) 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 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) 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))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps x) #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 0 binary64)) #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 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) 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 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) 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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) 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))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 5 x) eps) eps) (* 10 (* x x))) (*.f64 eps eps)) (*.f64 eps eps)) eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 254 |
| 0 | 58 | 238 |
| 1 | 194 | 218 |
| 2 | 1251 | 215 |
| 0 | 8289 | 212 |
| 0 | 42 | 321 |
| 0 | 66 | 315 |
| 1 | 240 | 277 |
| 2 | 1544 | 277 |
| 0 | 8405 | 277 |
| 0 | 327 | 1306 |
| 1 | 1099 | 1194 |
| 2 | 3679 | 1035 |
| 0 | 8298 | 971 |
| 0 | 385 | 1672 |
| 1 | 1324 | 1539 |
| 2 | 4366 | 1362 |
| 3 | 7464 | 1362 |
| 0 | 8102 | 1273 |
| 0 | 323 | 1335 |
| 1 | 1061 | 1223 |
| 2 | 3527 | 1054 |
| 3 | 7565 | 1054 |
| 0 | 8003 | 983 |
| 0 | 36 | 246 |
| 0 | 60 | 246 |
| 1 | 216 | 236 |
| 2 | 1600 | 236 |
| 0 | 8518 | 236 |
| 0 | 245 | 959 |
| 1 | 817 | 859 |
| 2 | 2844 | 712 |
| 0 | 8421 | 666 |
| 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 1 686 to 722 computations (57.2% saved)
Compiled 1 728 to 208 computations (88% saved)
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