
Time bar (total: 7.1s)
| 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)
| 631.0ms | 6 672× | 0 | valid |
| 302.0ms | 1 265× | 1 | valid |
| 107.0ms | 319× | 2 | valid |
ival-pow: 387.0ms (52% of total)ival-<=: 101.0ms (13.6% of total)ival-add: 95.0ms (12.8% of total)adjust: 65.0ms (8.7% of total)ival-sub: 49.0ms (6.6% of total)ival-and: 22.0ms (3% of total)exact: 22.0ms (3% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 39 | 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 | 39 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 39 | 0 |
| - | 0 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 39 | 0 | 0 |
| - | 0 | 0 | 217 |
| number | freq |
|---|---|
| 0 | 217 |
| 1 | 39 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 404× | 0 | valid |
| 25.0ms | 86× | 1 | valid |
| 5.0ms | 22× | 2 | valid |
Compiled 82 to 32 computations (61% saved)
ival-pow: 20.0ms (46.9% of total)ival-add: 11.0ms (25.8% of total)adjust: 8.0ms (18.8% of total)ival-sub: 3.0ms (7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 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 |
|---|---|---|
| ▶ | 86.9% | (-.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 | 0.0234375 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 8.35772691486418 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 20.0ms | 202× | 0 | valid |
| 7.0ms | 43× | 1 | valid |
| 4.0ms | 11× | 2 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-pow: 10.0ms (59% of total)adjust: 3.0ms (17.7% of total)ival-add: 2.0ms (11.8% of total)ival-sub: 1.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
eps |
(+ eps x) |
(pow x 5) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* eps (+ 1 (/ x eps))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | 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 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)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 305 | 8 | 313 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 305 | 9 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
| ▶ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| ▶ | 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| 83.5% | #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)))) | |
| ▶ | 83.5% | #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 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
| 74.7% | #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)))) | |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
Compiled 357 to 255 computations (28.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| cost-diff | 0 | (*.f64 (+.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))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 192 | (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) | |
| cost-diff | 0 | (/.f64 x eps) | |
| cost-diff | 0 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 263 |
| 0 | 58 | 263 |
| 1 | 94 | 260 |
| 2 | 175 | 259 |
| 3 | 333 | 253 |
| 4 | 617 | 253 |
| 5 | 802 | 253 |
| 6 | 1099 | 253 |
| 7 | 1138 | 253 |
| 8 | 1293 | 253 |
| 9 | 1367 | 253 |
| 10 | 1387 | 253 |
| 11 | 1410 | 253 |
| 12 | 1519 | 253 |
| 13 | 1554 | 253 |
| 0 | 1554 | 249 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
x |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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)))) |
(*.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))) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 #s(literal 4 binary64) eps) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
x |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))) |
(*.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))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 4 binary64)) eps) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 #s(literal 4 binary64) eps) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| accuracy | 0.11232377930532605 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.11705384486196127 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 10.466466049752142 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| accuracy | 0.15625 | (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) | |
| accuracy | 0.4283330806132575 | (*.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))) | |
| accuracy | 10.466466049752142 | #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 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 13.033776700021733 | (/.f64 (*.f64 eps eps) x) | |
| accuracy | 0.0 | (/.f64 x eps) | |
| accuracy | 0.14453125 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.740204009042747 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 9.042772986953151 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 9.21954504671714 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.10613251953688405 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 9.042772986953151 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
| 97.0ms | 195× | 0 | valid |
| 27.0ms | 48× | 1 | valid |
| 9.0ms | 13× | 2 | valid |
Compiled 478 to 72 computations (84.9% saved)
ival-pow: 61.0ms (54.9% of total)ival-mult: 29.0ms (26.1% of total)ival-add: 9.0ms (8.1% of total)adjust: 5.0ms (4.5% of total)ival-div: 4.0ms (3.6% of total)ival-sub: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.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))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 (pow x 3)) |
(/ (pow eps 2) x) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 4 eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ 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)))) |
(* -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 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(/ (+ eps (* 5 x)) eps) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* (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) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (/ (* eps eps) x) (* (pow x 4) 5)) |
| 7.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (/ (* eps eps) x) (* (pow x 4) 5)) |
| 6.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (/ (* eps eps) x) (* (pow x 4) 5)) |
| 4.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (/ (* eps eps) x) (* (pow x 4) 5)) |
| 4.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (+ (* (* (pow eps 4) 5) x) (pow eps 5)) (* (pow eps 4) 5) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* (/ (* eps eps) x) 10) (* 4 eps)) (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (/ (* eps eps) x) (* (pow x 4) 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 1073 |
| 1 | 940 | 991 |
| 2 | 3057 | 847 |
| 3 | 6453 | 847 |
| 0 | 8144 | 789 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 (pow x 3)) |
(/ (pow eps 2) x) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 4 eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ 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)))) |
(* -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 4) (+ eps (* 5 x))) |
(* 5 (pow eps 4)) |
(pow eps 4) |
(/ (+ eps (* 5 x)) eps) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* (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) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.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))) |
(+ (* 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 #s(literal 5 binary64) eps) x #s(literal 1 binary64)) |
(/ x eps) |
(/.f64 x eps) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 4 binary64) x (*.f64 #s(literal 10 binary64) eps))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (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)) x) #s(literal 5 binary64)) |
(* 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))) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 #s(literal 5 binary64) eps) x) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 (/.f64 #s(literal 5 binary64) eps) x #s(literal 1 binary64)) |
(* 4 eps) |
(*.f64 #s(literal 4 binary64) eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(+ eps (* 4 eps)) |
(*.f64 #s(literal 5 binary64) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.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 (+ (* -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 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal -10 binary64) (*.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 (/ (+ (* -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 (* 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))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #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)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (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 x (fma.f64 x #s(literal 10 binary64) (*.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))) |
(* 5 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 4 binary64)) eps) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 5 binary64) eps) x #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 #s(literal 5 binary64) eps) x))) (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 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 #s(literal 5 binary64) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 4 binary64) eps)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 5 binary64) eps)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (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))) |
(* -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 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (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 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 222 |
| 0 | 58 | 222 |
| 1 | 218 | 219 |
| 2 | 1508 | 219 |
| 0 | 8318 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.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))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 10 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64)))) (neg.f64 (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))) (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))))) (fma.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 125 binary64) (pow.f64 eps #s(literal 15 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))))) |
(fma.f64 (*.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) (pow.f64 eps #s(literal 5 binary64)))))) |
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1000 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1000 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64))) (fma.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1000 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1000 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64))) (fma.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1000 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 125 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (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)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))))) |
(fma.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (fma.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 10 binary64) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) |
(fma.f64 #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) |
(fma.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps))) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (fma.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 25 binary64)) (fma.f64 (*.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) |
(*.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 10 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 10 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (neg.f64 eps) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 x eps) eps)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 eps eps)) |
(*.f64 (/.f64 eps x) eps) |
(*.f64 (*.f64 (neg.f64 eps) eps) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 eps eps) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) x)) |
(*.f64 eps (/.f64 eps x)) |
(pow.f64 (/.f64 (/.f64 x eps) eps) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x eps) eps))) |
(/.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 x)) |
(/.f64 (*.f64 eps eps) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 x eps) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x eps) eps)) |
(/.f64 eps (/.f64 x eps)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 eps) eps) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (neg.f64 eps) eps) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x eps) eps)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
Compiled 21 160 to 2 311 computations (89.1% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 10 | 556 |
| Fresh | 1 | 2 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 551 | 14 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) | |
| 76.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) | |
| ✓ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps))))) | |
| ▶ | 85.8% | #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)))) |
| 74.7% | #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)))) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)))) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) | |
| 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| ▶ | 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| ▶ | 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
Compiled 598 to 417 computations (30.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| cost-diff | 384 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| 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 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| cost-diff | 0 | (*.f64 #s(literal 10 binary64) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (/.f64 x eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 704 | (*.f64 (+.f64 (*.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 | 44 | 326 |
| 0 | 68 | 332 |
| 1 | 112 | 328 |
| 2 | 197 | 316 |
| 3 | 389 | 316 |
| 4 | 944 | 310 |
| 5 | 1260 | 294 |
| 6 | 2425 | 294 |
| 7 | 3037 | 294 |
| 8 | 3394 | 294 |
| 9 | 3686 | 294 |
| 10 | 4164 | 294 |
| 11 | 4841 | 294 |
| 12 | 5776 | 294 |
| 13 | 6572 | 294 |
| 14 | 7040 | 294 |
| 15 | 7408 | 294 |
| 16 | 7778 | 294 |
| 0 | 8036 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
eps |
(/.f64 eps x) |
x |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
(*.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 (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) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
(*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) |
#s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (*.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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (+.f64 (*.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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+.f64 (*.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 (/.f64 x eps) #s(literal 5 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 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 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 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 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
eps |
(/.f64 eps x) |
x |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
(*.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 (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) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) eps)) |
(*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) |
(*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) eps) |
#s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) | |
| accuracy | 0.13119125976844204 | (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) | |
| accuracy | 1.4339552097658392 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 10.466466049752142 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| accuracy | 0.0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 9.042772986953151 | #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 | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.11232377930532605 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 10.68114088658264 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| accuracy | 0.078125 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 0.232753759768442 | (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) | |
| accuracy | 3.0520027766337705 | (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) | |
| accuracy | 10.466466049752142 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| accuracy | 0.0 | (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.28515625 | (*.f64 (/.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 0.740204009042747 | (*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 9.042772986953151 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 81.0ms | 191× | 0 | valid |
| 28.0ms | 52× | 1 | valid |
| 24.0ms | 13× | 2 | valid |
Compiled 564 to 88 computations (84.4% saved)
ival-pow: 31.0ms (32.4% of total)ival-mult: 28.0ms (29.3% of total)ival-add: 24.0ms (25.1% of total)adjust: 6.0ms (6.3% of total)ival-div: 4.0ms (4.2% of total)ival-sub: 2.0ms (2.1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 #s(literal 10 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 (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)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
(*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) |
#s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
| Outputs |
|---|
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ (* 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 (/ x eps)) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
eps |
(+ eps (* 5 x)) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ eps x)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 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)))))))))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
5 |
(+ 5 (* 10 (/ eps x))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (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)))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(/ (+ eps (* 5 x)) eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 eps) |
(pow eps 4) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | -inf | ((* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (/ x eps) 5) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* 10 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ eps x) 10) 5)) |
| 4.0ms | x | @ | inf | ((* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (/ x eps) 5) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* 10 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ eps x) 10) 5)) |
| 4.0ms | x | @ | -inf | ((* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (/ x eps) 5) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* 10 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ eps x) 10) 5)) |
| 4.0ms | eps | @ | inf | ((* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (/ x eps) 5) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* 10 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ eps x) 10) 5)) |
| 4.0ms | eps | @ | 0 | ((* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (- (pow (+ x eps) 5) (pow x 5)) (* (/ x eps) 5) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* 10 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) 5) eps) (* (pow x 4) 5) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ eps x) 10) 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 290 | 1136 |
| 1 | 992 | 1035 |
| 2 | 3231 | 882 |
| 3 | 7166 | 882 |
| 0 | 8008 | 821 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ (* 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 (/ x eps)) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 4) |
eps |
(+ eps (* 5 x)) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ eps x)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 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)))))))))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
5 |
(+ 5 (* 10 (/ eps x))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (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)))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(/ (+ eps (* 5 x)) eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 eps) |
(pow eps 4) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.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))) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps)) |
(* 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 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 (* 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)) |
eps |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ eps 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) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64)) |
(* 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)) |
(* (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 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(* (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) |
(* 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 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (/ eps x))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 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 |
#s(literal 5 binary64) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 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 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 (* x (- (* -1 (/ eps x)) 5))) |
(neg.f64 (fma.f64 #s(literal -5 binary64) x (neg.f64 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 (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* 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 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* 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) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* 10 eps) |
(*.f64 #s(literal 10 binary64) eps) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ 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 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 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 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #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 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(neg.f64 (fma.f64 #s(literal -5 binary64) x (neg.f64 eps))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 284 |
| 0 | 68 | 276 |
| 1 | 236 | 276 |
| 2 | 1470 | 276 |
| 0 | 8173 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 #s(literal 10 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 (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)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
(*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) |
#s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
| Outputs |
|---|
(*.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))) (pow.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 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))) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) #s(literal -1 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))) (pow.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 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))) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64))))) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64)))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64)))) |
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(*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 100 binary64) #s(literal -25 binary64)) (pow.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) (/.f64 #s(literal 1 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 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.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 (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 (/.f64 #s(literal 25 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))) (/.f64 #s(literal 25 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))))) |
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 25 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))) #s(literal 3 binary64))) (fma.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 (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))) (fma.f64 (/.f64 #s(literal 25 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))) (/.f64 #s(literal 25 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 25 binary64) (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #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))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 2 binary64)) (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 eps x) #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 eps x) #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 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))))) |
(/.f64 #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 (fma.f64 (pow.f64 (/.f64 eps x) #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 (fma.f64 (pow.f64 (/.f64 eps x) #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 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64))))) |
(/.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 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 eps x) #s(literal 3 binary64)) #s(literal 1000 binary64) #s(literal 125 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 #s(literal 1 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 (*.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 (neg.f64 (*.f64 #s(literal 10 binary64) eps)) (/.f64 #s(literal -1 binary64) x) #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 (*.f64 #s(literal 10 binary64) eps) (pow.f64 x #s(literal -1 binary64)) #s(literal 5 binary64)) |
(fma.f64 #s(literal 10 binary64) (/.f64 eps 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 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) |
(fma.f64 eps (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 10 binary64)) #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 18 880 to 2 223 computations (88.2% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 11 | 502 |
| Fresh | 5 | 2 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 499 | 17 | 516 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| ▶ | 85.7% | #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)))) |
| 74.7% | #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)))) | |
| ✓ | 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) | |
| ▶ | 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
| ▶ | 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
| 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) eps)) | |
| 83.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) | |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) | |
| ▶ | 70.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 873 to 563 computations (35.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) | |
| cost-diff | 704 | (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) 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 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.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 (*.f64 eps eps) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 395 |
| 0 | 65 | 407 |
| 1 | 123 | 369 |
| 2 | 253 | 349 |
| 3 | 451 | 349 |
| 4 | 769 | 349 |
| 5 | 922 | 338 |
| 6 | 1035 | 338 |
| 7 | 1141 | 338 |
| 8 | 2386 | 338 |
| 9 | 3555 | 338 |
| 10 | 3800 | 338 |
| 11 | 3964 | 338 |
| 12 | 4105 | 338 |
| 13 | 4243 | 338 |
| 14 | 4415 | 338 |
| 15 | 7033 | 338 |
| 0 | 8009 | 327 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x)) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps)) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
(*.f64 eps eps) |
eps |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
(*.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 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x)) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
#s(literal 5 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))))) |
(*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)))) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
(*.f64 eps eps) |
eps |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (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 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps)) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x)) |
(*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps)) (*.f64 x x)) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(*.f64 x x) |
#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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
#s(literal 5 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.03125 | (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) | |
| accuracy | 0.03972626953688403 | (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) | |
| accuracy | 10.68114088658264 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) | |
| accuracy | 0.13119125976844204 | (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) | |
| accuracy | 0.22265625 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) | |
| accuracy | 10.466466049752142 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps) | |
| accuracy | 0.11232377930532605 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) | |
| accuracy | 0.15462875976844204 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 10.68114088658264 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) | |
| accuracy | 0.078125 | (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x)) | |
| accuracy | 0.09994125976844202 | (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps)) | |
| accuracy | 10.466466049752142 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) | |
| accuracy | 13.919677112949278 | #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) | |
| accuracy | 9.042772986953151 | #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)))) |
| 71.0ms | 52× | 1 | valid |
| 65.0ms | 191× | 0 | valid |
| 7.0ms | 13× | 2 | valid |
Compiled 662 to 82 computations (87.6% saved)
ival-mult: 93.0ms (76.5% of total)ival-pow: 14.0ms (11.5% of total)ival-add: 6.0ms (4.9% of total)adjust: 4.0ms (3.3% of total)ival-div: 2.0ms (1.6% of total)ival-sub: 2.0ms (1.6% 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 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x)) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps 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 x x) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x)) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
| 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)) |
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)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 2) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(* eps (pow x 4)) |
(pow x 4) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 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)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) 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)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 2) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(pow eps 4) |
(* eps (+ 5 (* 10 (/ eps 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)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* (* 10 x) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* x x) (* (* (+ (* (/ eps x) 10) 5) eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (* (* eps eps) (* eps eps)) (* (* x x) (* x x)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5)) |
| 6.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* (* 10 x) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* x x) (* (* (+ (* (/ eps x) 10) 5) eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (* (* eps eps) (* eps eps)) (* (* x x) (* x x)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5)) |
| 4.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* (* 10 x) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* x x) (* (* (+ (* (/ eps x) 10) 5) eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (* (* eps eps) (* eps eps)) (* (* x x) (* x x)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5)) |
| 3.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* (* 10 x) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* x x) (* (* (+ (* (/ eps x) 10) 5) eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (* (* eps eps) (* eps eps)) (* (* x x) (* x x)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5)) |
| 3.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (* eps eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* (* 10 x) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* x x) (* x x)) 5) eps) (* (* (* x x) (* x x)) 5) (* x x) (* (* (+ (* (/ eps x) 10) 5) eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (* (* eps eps) (* eps eps)) (* (* x x) (* x x)) (* (+ (* (/ eps x) 10) 5) eps) (+ (* (/ eps x) 10) 5)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 1123 |
| 1 | 984 | 1012 |
| 2 | 3205 | 880 |
| 3 | 7090 | 878 |
| 0 | 8165 | 823 |
| 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)) |
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)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(pow x 2) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(* eps (pow x 4)) |
(pow x 4) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 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)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) 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)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 2) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(pow eps 4) |
(* eps (+ 5 (* 10 (/ eps 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)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x 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)) |
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.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))) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
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)) #s(literal 10 binary64)) eps) eps) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps)) |
(* 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) |
(* 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 2) |
(*.f64 x x) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) |
(* eps (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (*.f64 (/.f64 eps x) eps) #s(literal 10 binary64)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (/.f64 eps x)) |
(* 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 x) eps) #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 x) eps) #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)) x) #s(literal 5 binary64)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (/ eps x))) |
(*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x) |
(* (pow x 4) (+ (* 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 (pow x 2))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) |
(* (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) |
(* 5 (* eps x)) |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
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 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* -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) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -5 binary64) (/.f64 eps x))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) 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 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))) |
(pow eps 2) |
(*.f64 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 (pow x 2)) (* 10 (* eps x)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.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 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))) |
(* 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 (/ (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 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) 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) |
(* 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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal -5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 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))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal -5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(neg.f64 (fma.f64 #s(literal -5 binary64) x (neg.f64 eps))) |
(* 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 | 43 | 351 |
| 0 | 65 | 329 |
| 1 | 212 | 305 |
| 2 | 1158 | 305 |
| 0 | 8276 | 305 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x)) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps 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 x x) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x)) |
#s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
| Outputs |
|---|
#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 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) #s(literal -1 binary64))) |
(*.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))) (pow.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps))) (pow.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) #s(literal -1 binary64))) |
(*.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)))) (pow.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 3 binary64))) eps) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (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 (*.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (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 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)))) (-.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (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 (pow.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 5 binary64) x) (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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)))) (neg.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) |
(/.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))) (fma.f64 #s(literal 5 binary64) x (neg.f64 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))) (fma.f64 #s(literal 5 binary64) x (neg.f64 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 (fma.f64 #s(literal 5 binary64) x (neg.f64 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 (fma.f64 #s(literal 5 binary64) x (neg.f64 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 (fma.f64 eps eps (*.f64 #s(literal -25 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 eps (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 5 binary64) x))))))) |
(*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (pow.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 (*.f64 #s(literal 5 binary64) x) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)) #s(literal -1 binary64)) |
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(/.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 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (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 (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 #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 (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) (/.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 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 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 (*.f64 (/.f64 eps x) #s(literal 10 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)) (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 (neg.f64 eps) #s(literal -1 binary64)) (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) |
(fma.f64 #s(literal -10 binary64) (/.f64 (neg.f64 eps) x) #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 (*.f64 #s(literal 10 binary64) eps) (pow.f64 x #s(literal -1 binary64)) #s(literal 5 binary64)) |
(fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)) |
(fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) |
(fma.f64 eps (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 10 binary64)) #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 17 895 to 2 255 computations (87.4% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 420 | 11 | 431 |
| Fresh | 5 | 3 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 430 | 18 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 85.7% | #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)))) |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 eps eps (*.f64 #s(literal -25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| 74.7% | #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)))) | |
| ✓ | 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) | |
| 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) | |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)) | |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) | |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) eps)) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| 70.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) | |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
Compiled 1 625 to 543 computations (66.6% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 eps eps (*.f64 #s(literal -25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 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)) #s(approx (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.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 (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)))) |
#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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)))) eps) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 14.0ms | eps |
| 11.0ms | x |
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 98.3% | 3 | eps |
| 99.3% | 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 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 eps eps (*.f64 #s(literal -25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 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)) #s(approx (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.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 (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)))) |
#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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)))) eps) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
1 calls:
| 12.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 eps eps (*.f64 #s(literal -25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 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)) #s(approx (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (+.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.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 (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)))) |
#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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)))) eps) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x 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 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)) |
2 calls:
| 13.0ms | x |
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | x |
| 98.4% | 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 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 eps eps (*.f64 #s(literal -25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 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)) #s(approx (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.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 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x eps)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) x)) eps) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 eps eps (*.f64 #s(literal -25 binary64) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (*.f64 eps eps) (*.f64 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 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))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -5 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) |
1 calls:
| 33.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps)) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
3 calls:
| 3.0ms | x |
| 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 |
|---|---|---|
| 83.2% | 1 | eps |
| 83.2% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.2% | 1 | x |
Compiled 11 to 11 computations (0% saved)
Total -8.4b remaining (-78.6%)
Threshold costs -8.4b (-78.6%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
3 calls:
| 19.0ms | 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 |
|---|---|---|
| 83.2% | 1 | x |
| 83.2% | 1 | eps |
| 83.2% | 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 | 8.3033e-320 |
| 0.0ms | -4.1605e-320 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.3033e-320 |
| 0.0ms | -4.1605e-320 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 8.159237112172547e-65 | 1.3464600615856973e-64 |
| 13.0ms | -1.5402640878358697e-64 | -8.050345173547053e-67 |
| 12.0ms | 176× | 0 | valid |
Compiled 680 to 467 computations (31.3% saved)
ival-pow: 6.0ms (72.5% of total)ival-sub: 1.0ms (12.1% of total)ival-add: 1.0ms (12.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.159237112172547e-65 | 1.3464600615856973e-64 |
| 1.0ms | -1.5402640878358697e-64 | -8.050345173547053e-67 |
Compiled 658 to 456 computations (30.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.159237112172547e-65 | 1.3464600615856973e-64 |
| 1.0ms | -1.5402640878358697e-64 | -8.050345173547053e-67 |
Compiled 702 to 467 computations (33.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.159237112172547e-65 | 1.3464600615856973e-64 |
| 1.0ms | -1.5402640878358697e-64 | -8.050345173547053e-67 |
Compiled 694 to 463 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.159237112172547e-65 | 1.3464600615856973e-64 |
| 9.0ms | -4.8402288087527286e-64 | -1.5402640878358697e-64 |
| 6.0ms | 80× | 0 | valid |
Compiled 631 to 398 computations (36.9% saved)
ival-pow: 3.0ms (69.5% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 733 |
| 1 | 136 | 711 |
| 2 | 177 | 711 |
| 3 | 274 | 711 |
| 4 | 525 | 711 |
| 5 | 680 | 711 |
| 6 | 776 | 685 |
| 7 | 947 | 685 |
| 8 | 1843 | 685 |
| 9 | 2401 | 685 |
| 10 | 2887 | 685 |
| 11 | 3688 | 685 |
| 12 | 4353 | 685 |
| 13 | 5301 | 685 |
| 14 | 7117 | 685 |
| 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 -253/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 x #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)))) |
(if (<=.f64 x #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)))) |
(if (<=.f64 x #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)))) |
(if (<=.f64 x #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -7114265962740707/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 #s(literal 4 binary64) eps)) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))) |
(if (<=.f64 x #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)))) |
(if (<=.f64 x #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)))) |
(if (<=.f64 x #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 eps x))) x) x)))) |
(if (<=.f64 x #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))))) |
(if (or (<=.f64 x #s(literal -2223208113356471/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (not (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) eps)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps))) |
(if (<=.f64 x #s(literal -7114265962740707/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) (if (<=.f64 x #s(literal 3912846279507389/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ eps x) 10) 5) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (* 10 eps) (/ eps x)) (* 5 eps)) (* x x)) (*.f64 #s(approx (* (* (+ (* (/ eps x) 10) 5) eps) x) (*.f64 (*.f64 eps x) #s(literal 5 binary64))) x)) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 284 |
| 0 | 68 | 276 |
| 1 | 236 | 276 |
| 2 | 1470 | 276 |
| 0 | 8173 | 270 |
| 0 | 43 | 351 |
| 0 | 65 | 329 |
| 1 | 212 | 305 |
| 2 | 1158 | 305 |
| 0 | 8276 | 305 |
| 0 | 290 | 1136 |
| 1 | 992 | 1035 |
| 2 | 3231 | 882 |
| 3 | 7166 | 882 |
| 0 | 8008 | 821 |
| 0 | 245 | 959 |
| 1 | 817 | 859 |
| 2 | 2844 | 712 |
| 0 | 8421 | 666 |
| 0 | 35 | 222 |
| 0 | 58 | 222 |
| 1 | 218 | 219 |
| 2 | 1508 | 219 |
| 0 | 8318 | 216 |
| 0 | 288 | 1123 |
| 1 | 984 | 1012 |
| 2 | 3205 | 880 |
| 3 | 7090 | 878 |
| 0 | 8165 | 823 |
| 0 | 276 | 1073 |
| 1 | 940 | 991 |
| 2 | 3057 | 847 |
| 3 | 6453 | 847 |
| 0 | 8144 | 789 |
| 1× | fuel |
| 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 |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 656 to 754 computations (54.5% saved)
Compiled 1 484 to 228 computations (84.6% saved)
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