
Time bar (total: 10.6s)
| 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)
| 662.0ms | 6 727× | 0 | valid |
| 203.0ms | 1 248× | 1 | valid |
| 62.0ms | 281× | 2 | valid |
ival-pow: 319.0ms (49.9% of total)ival-<=: 96.0ms (15% of total)ival-add: 87.0ms (13.6% of total)adjust: 53.0ms (8.3% of total)ival-sub: 44.0ms (6.9% of total)ival-and: 20.0ms (3.1% of total)exact: 18.0ms (2.8% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 120× | sub-neg |
| 84× | unsub-neg |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 80× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 39 | 49 |
| 2 | 87 | 47 |
| 3 | 163 | 47 |
| 4 | 290 | 47 |
| 5 | 425 | 47 |
| 6 | 514 | 47 |
| 7 | 558 | 47 |
| 8 | 603 | 47 |
| 9 | 618 | 47 |
| 10 | 626 | 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 | 106 | 9 |
| 8 | 149 | 9 |
| 9 | 164 | 9 |
| 10 | 172 | 9 |
| 0 | 172 | 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))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 46 | 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 | 46 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 46 | 0 |
| - | 0 | 210 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 46 | 0 | 0 |
| - | 0 | 0 | 210 |
| number | freq |
|---|---|
| 0 | 210 |
| 1 | 46 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 398× | 0 | valid |
| 14.0ms | 90× | 1 | valid |
| 5.0ms | 24× | 2 | valid |
Compiled 72 to 32 computations (55.6% saved)
ival-pow: 20.0ms (66.2% of total)adjust: 3.0ms (9.9% of total)ival-add: 3.0ms (9.9% of total)ival-sub: 3.0ms (9.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.5% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% 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))) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 36× | lower-+.f32 |
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 | 106 | 23 |
| 8 | 149 | 23 |
| 9 | 164 | 23 |
| 10 | 172 | 23 |
| 0 | 172 | 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))) |
(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)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 5 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x eps) |
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| ✓ | accuracy | 84.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 24.0ms | 199× | 0 | valid |
| 7.0ms | 45× | 1 | valid |
| 3.0ms | 12× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 20.0ms (80.1% of total)adjust: 2.0ms (8% of total)ival-add: 2.0ms (8% of total)ival-sub: 1.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))> |
#<alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64))> |
#<alt (+.f64 x eps)> |
#<alt (pow.f64 x #s(literal 5 binary64))> |
| Outputs |
|---|
#<alt (pow eps 5)> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))> |
#<alt (+ (* 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))> |
#<alt (+ (* 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))> |
#<alt (* (pow x 4) (+ eps (* 4 eps)))> |
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))> |
#<alt (* (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))))))))> |
#<alt (* (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))))))))))> |
#<alt (* (pow x 4) (+ eps (* 4 eps)))> |
#<alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))> |
#<alt (* (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))))> |
#<alt (* (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))))> |
#<alt (* eps (+ (* 4 (pow x 4)) (pow x 4)))> |
#<alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))> |
#<alt (* (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)))))))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))> |
#<alt (* -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)))> |
#<alt (* -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)))> |
#<alt (pow eps 5)> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))> |
#<alt (+ (* 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))> |
#<alt (+ (* 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))> |
#<alt (pow x 5)> |
#<alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))> |
#<alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))> |
#<alt (* (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)))))))))> |
#<alt (pow x 5)> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))> |
#<alt (* -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)))> |
#<alt (* -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)))> |
#<alt (pow x 5)> |
#<alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))> |
#<alt (+ (* 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))> |
#<alt (+ (* 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))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))> |
#<alt (* (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)))))))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))> |
#<alt (* -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)))> |
#<alt (* -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)))> |
#<alt eps> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt x> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt x> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | -inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | -inf | (pow (+ x eps) 5) |
| 1× | batch-egg-rewrite |
| 4 520× | lower-*.f64 |
| 4 520× | lower-*.f32 |
| 3 728× | lower-fma.f64 |
| 3 728× | lower-fma.f32 |
| 3 216× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 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 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))) |
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -1 binary64) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
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(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 eps 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 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (neg.f64 (-.f64 x 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 #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) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (*.f64 eps eps)))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.f64 x 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 (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)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (*.f64 (-.f64 eps x) (-.f64 eps x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps)))) (neg.f64 (*.f64 (-.f64 x eps) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 eps x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x x (*.f64 eps eps)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (exp.f64 (neg.f64 (log.f64 (-.f64 x eps))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) |
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(pow.f64 x #s(literal 5 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) |
| 1× | egg-herbie |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 6 916× | lower-*.f64 |
| 6 916× | lower-*.f32 |
| 3 992× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow 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 4) (+ eps (* 4 eps))) |
(* (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)))) |
(* 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 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))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(pow x 5) |
(+ (* 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) |
(* (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 (* (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))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #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 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64))) (*.f64 x x))))))) |
(* (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 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64))) (*.f64 x x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(* (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) |
(* (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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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)))) |
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* 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 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) 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 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 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 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) (*.f64 x 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))))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x)) (fma.f64 eps (*.f64 (/.f64 eps (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 eps x))))))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 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 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) 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 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (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 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (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 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) 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 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
Compiled 15 531 to 1 220 computations (92.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 8 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 352 | 9 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| 11.4% | (fma.f64 (pow.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) | |
| ▶ | 40.3% | (fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
| ▶ | 83.3% | (pow.f64 eps #s(literal 5 binary64)) |
| ✓ | 84.5% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 81.7% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ▶ | 83.1% | (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
| ▶ | 83.5% | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
| 83.2% | (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| 83.1% | (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
Compiled 259 to 163 computations (37.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 5/4 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
| ✓ | cost-diff | 18432 | (fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal 5 binary64)) |
| ✓ | cost-diff | 448 | (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
| ✓ | cost-diff | 704 | (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
| ✓ | cost-diff | 5504 | (pow.f64 x #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 x eps) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x eps) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
| 3 882× | lower-*.f32 |
| 3 864× | lower-*.f64 |
| 3 094× | lower-fma.f32 |
| 3 090× | lower-fma.f64 |
| 2 412× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 174 |
| 0 | 54 | 164 |
| 1 | 100 | 158 |
| 2 | 200 | 146 |
| 3 | 453 | 146 |
| 4 | 1103 | 146 |
| 5 | 2330 | 146 |
| 6 | 5969 | 146 |
| 0 | 8498 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
(pow.f64 x #s(literal 5/4 binary64)) |
x |
#s(literal 5/4 binary64) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(neg.f64 (pow.f64 x #s(literal 5/2 binary64))) |
(pow.f64 x #s(literal 5/2 binary64)) |
#s(literal 5/2 binary64) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
eps |
#s(literal 5 binary64) |
| Outputs |
|---|
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
#s(literal 4 binary64) |
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(pow.f64 x #s(literal 5/4 binary64)) |
x |
#s(literal 5/4 binary64) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(neg.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 x #s(literal 5/2 binary64))) |
(pow.f64 x #s(literal 5/2 binary64)) |
#s(literal 5/2 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) |
eps |
#s(literal 5 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) |
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
| ✓ | accuracy | 91.0% | (fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
| ✓ | accuracy | 99.9% | (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
| ✓ | accuracy | 90.4% | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 94.4% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (pow.f64 eps #s(literal 5 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 eps #s(literal 5 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x eps) |
| ✓ | accuracy | 100.0% | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
| 60.0ms | 130× | 0 | invalid |
| 24.0ms | 96× | 0 | valid |
| 11.0ms | 22× | 1 | valid |
| 7.0ms | 8× | 2 | valid |
Compiled 179 to 34 computations (81% saved)
ival-pow: 22.0ms (41.1% of total)ival-mult: 17.0ms (31.8% of total)ival-div: 4.0ms (7.5% of total)ival-add: 4.0ms (7.5% of total)adjust: 2.0ms (3.7% of total)ival-sub: 2.0ms (3.7% of total)ival-neg: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))> |
#<alt (pow.f64 eps #s(literal 5 binary64))> |
#<alt (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))> |
#<alt (/.f64 x eps)> |
#<alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))> |
#<alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64))> |
#<alt (+.f64 x eps)> |
#<alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))> |
#<alt (pow.f64 x #s(literal 4 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))> |
#<alt (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))> |
#<alt (*.f64 eps #s(literal 5 binary64))> |
#<alt (fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))> |
#<alt (pow.f64 x #s(literal 5/4 binary64))> |
#<alt (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)> |
#<alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64))> |
| Outputs |
|---|
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (pow eps 5)> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt (pow eps 5)> |
#<alt 1> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (* 5 (/ x eps))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* 5 (/ x eps))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))> |
#<alt (* 5 (/ x eps))> |
#<alt (/ (+ eps (* 5 x)) eps)> |
#<alt (/ (+ eps (* 5 x)) eps)> |
#<alt (/ (+ eps (* 5 x)) eps)> |
#<alt 1> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt 1> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (+ 1 (* 5 (/ x eps)))> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (/ x eps)> |
#<alt (pow eps 5)> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))> |
#<alt (+ (* 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))> |
#<alt (+ (* 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))> |
#<alt (* (pow x 4) (+ eps (* 4 eps)))> |
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))> |
#<alt (* (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))))))))> |
#<alt (* (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))))))))))> |
#<alt (* (pow x 4) (+ eps (* 4 eps)))> |
#<alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))> |
#<alt (* (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))))> |
#<alt (* (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))))> |
#<alt (* eps (+ (* 4 (pow x 4)) (pow x 4)))> |
#<alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))> |
#<alt (* (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)))))))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))> |
#<alt (* -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)))> |
#<alt (* -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)))> |
#<alt (pow eps 5)> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))> |
#<alt (+ (* 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))> |
#<alt (+ (* 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))> |
#<alt (pow x 5)> |
#<alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))> |
#<alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))> |
#<alt (* (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)))))))))> |
#<alt (pow x 5)> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))> |
#<alt (* -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)))> |
#<alt (* -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)))> |
#<alt (pow x 5)> |
#<alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))> |
#<alt (+ (* 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))> |
#<alt (+ (* 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))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))> |
#<alt (* (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)))))))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))> |
#<alt (* -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)))> |
#<alt (* -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)))> |
#<alt eps> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt x> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt x> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 5)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 5 eps)> |
#<alt (* eps (+ 5 (* 10 (/ eps x))))> |
#<alt (* eps (+ 5 (* 10 (/ eps x))))> |
#<alt (* eps (+ 5 (* 10 (/ eps x))))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x)> |
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x)> |
#<alt (/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x)> |
#<alt (* 5 eps)> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (* 5 eps)> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (* 5 eps)> |
#<alt (pow eps 5)> |
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))> |
#<alt (+ (* 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))> |
#<alt (+ (* 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))> |
#<alt (* (pow x 4) (+ eps (* 4 eps)))> |
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))> |
#<alt (* (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))))))))> |
#<alt (* (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))))))))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (pow (sqrt -1) 2)) 1)))> |
#<alt (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ eps (* 4 eps)) x)) (* -1 (pow (sqrt -1) 2))) 1)))> |
#<alt (* -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 (pow (sqrt -1) 2))) 1)))> |
#<alt (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) (* -1 (pow (sqrt -1) 2))) 1)))> |
#<alt (+ (* -1 (pow x 5)) (pow x 5))> |
#<alt (+ (* -1 (pow x 5)) (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)))> |
#<alt (+ (* -1 (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)))> |
#<alt (+ (* -1 (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)))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))> |
#<alt (* (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)))))))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))> |
#<alt (* -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)))> |
#<alt (* -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)))> |
#<alt (* -1 (pow (* 1 (pow x 15)) 1/4))> |
#<alt (* -1 (pow (* 1 (pow x 15)) 1/4))> |
#<alt (* -1 (pow (* 1 (pow x 15)) 1/4))> |
#<alt (* -1 (pow (* 1 (pow x 15)) 1/4))> |
#<alt (* -1 (pow (* 1 (pow x 15)) 1/4))> |
#<alt (* -1 (pow (* 1 (pow x 15)) 1/4))> |
#<alt (* -1 (pow (* 1 (pow x 15)) 1/4))> |
#<alt (* -1 (pow (* 1 (pow x 15)) 1/4))> |
#<alt (* -1 (* (exp (* 1/4 (+ (log -1) (* -15 (log (/ -1 x)))))) (sqrt -1)))> |
#<alt (* -1 (* (exp (* 1/4 (+ (log -1) (* -15 (log (/ -1 x)))))) (sqrt -1)))> |
#<alt (* -1 (* (exp (* 1/4 (+ (log -1) (* -15 (log (/ -1 x)))))) (sqrt -1)))> |
#<alt (* -1 (* (exp (* 1/4 (+ (log -1) (* -15 (log (/ -1 x)))))) (sqrt -1)))> |
#<alt (pow (* 1 (pow x 5)) 1/4)> |
#<alt (pow (* 1 (pow x 5)) 1/4)> |
#<alt (pow (* 1 (pow x 5)) 1/4)> |
#<alt (pow (* 1 (pow x 5)) 1/4)> |
#<alt (pow (* 1 (pow x 5)) 1/4)> |
#<alt (pow (* 1 (pow x 5)) 1/4)> |
#<alt (pow (* 1 (pow x 5)) 1/4)> |
#<alt (pow (* 1 (pow x 5)) 1/4)> |
#<alt (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x))))))> |
#<alt (* -1 (sqrt (pow x 5)))> |
#<alt (* -1 (sqrt (pow x 5)))> |
#<alt (* -1 (sqrt (pow x 5)))> |
#<alt (* -1 (sqrt (pow x 5)))> |
#<alt (* -1 (sqrt (pow x 5)))> |
#<alt (* -1 (sqrt (pow x 5)))> |
#<alt (* -1 (sqrt (pow x 5)))> |
#<alt (* -1 (sqrt (pow x 5)))> |
#<alt (* (sqrt (pow x 5)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow x 5)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow x 5)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow x 5)) (pow (sqrt -1) 2))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (/ (pow eps 2) x))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
#<alt (* -10 (pow eps 2))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | x | @ | 0 | (* (pow x 5/4) (neg (pow x 5/2))) |
| 26.0ms | x | @ | -inf | (* (pow x 5/4) (neg (pow x 5/2))) |
| 13.0ms | x | @ | inf | (pow x 5/4) |
| 8.0ms | x | @ | -inf | (pow x 5/4) |
| 7.0ms | x | @ | inf | (* (pow x 5/4) (neg (pow x 5/2))) |
| 1× | batch-egg-rewrite |
| 8 402× | lower-fma.f32 |
| 8 398× | lower-fma.f64 |
| 4 420× | lower-*.f32 |
| 4 402× | lower-*.f64 |
| 2 948× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 135 |
| 0 | 54 | 119 |
| 1 | 195 | 109 |
| 2 | 1276 | 109 |
| 0 | 8566 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(/.f64 x eps) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
(*.f64 eps #s(literal 5 binary64)) |
(fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(pow.f64 x #s(literal 5/4 binary64)) |
(neg.f64 (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 x (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
| Outputs |
|---|
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (pow.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) (pow.f64 eps #s(literal 5 binary64))))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(fma.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps) (pow.f64 eps #s(literal 5 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 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) (pow.f64 eps #s(literal 5 binary64))) |
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(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5/2 binary64))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 15/2 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 15/2 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 15/2 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (neg.f64 (pow.f64 x #s(literal 15/8 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal 5/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 15/8 binary64)) (neg.f64 (pow.f64 x #s(literal 5/8 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/8 binary64))) (pow.f64 x #s(literal 15/8 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 15/8 binary64))) (pow.f64 x #s(literal 5/8 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))))) |
(/.f64 (*.f64 eps eps) (*.f64 x #s(literal -1/10 binary64))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64))))) |
(pow.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) #s(literal -1 binary64)) |
(*.f64 eps (/.f64 eps (*.f64 x #s(literal -1/10 binary64)))) |
(*.f64 eps (/.f64 (*.f64 eps #s(literal -10 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 x #s(literal -1/10 binary64)))) |
(*.f64 (*.f64 eps eps) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 (*.f64 eps eps) (neg.f64 (neg.f64 (/.f64 #s(literal -10 binary64) x)))) |
(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (*.f64 eps eps) (*.f64 x #s(literal -1/10 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(*.f64 (/.f64 #s(literal -10 binary64) x) (*.f64 eps eps)) |
(*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (neg.f64 eps)) x)) |
(*.f64 (*.f64 eps (neg.f64 eps)) (neg.f64 (/.f64 #s(literal -10 binary64) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps #s(literal 10 binary64)) x)) |
(*.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 10 binary64) x)) |
(*.f64 (/.f64 (*.f64 eps (neg.f64 eps)) #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 eps (neg.f64 eps))) (/.f64 #s(literal -10 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(*.f64 eps (neg.f64 (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 #s(literal -10 binary64) (neg.f64 (*.f64 eps (neg.f64 eps)))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 eps) (*.f64 eps #s(literal 10 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 (*.f64 eps #s(literal -10 binary64)) eps) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (neg.f64 eps))) |
(*.f64 (*.f64 eps (neg.f64 eps)) #s(literal 10 binary64)) |
(*.f64 (neg.f64 (*.f64 eps (neg.f64 eps))) #s(literal -10 binary64)) |
| 1× | egg-herbie |
| 11 768× | lower-fma.f64 |
| 11 768× | lower-fma.f32 |
| 4 450× | lower-*.f64 |
| 4 450× | lower-*.f32 |
| 3 828× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 3684 |
| 1 | 1160 | 3441 |
| 2 | 3889 | 3022 |
| 3 | 6924 | 3022 |
| 0 | 8155 | 2870 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 5 (/ x eps)) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow 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 4) (+ eps (* 4 eps))) |
(* (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)))) |
(* 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 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))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(pow x 5) |
(+ (* 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) |
(* (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 (* (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))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 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 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow 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)))))))))) |
(* -1 (* (pow x 5) (- (* -1 (pow (sqrt -1) 2)) 1))) |
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ eps (* 4 eps)) x)) (* -1 (pow (sqrt -1) 2))) 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 (pow (sqrt -1) 2))) 1))) |
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) (* -1 (pow (sqrt -1) 2))) 1))) |
(+ (* -1 (pow x 5)) (pow x 5)) |
(+ (* -1 (pow x 5)) (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))) |
(+ (* -1 (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))) |
(+ (* -1 (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) |
(* (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 (* (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 (* 1 (pow x 15)) 1/4)) |
(* -1 (pow (* 1 (pow x 15)) 1/4)) |
(* -1 (pow (* 1 (pow x 15)) 1/4)) |
(* -1 (pow (* 1 (pow x 15)) 1/4)) |
(* -1 (pow (* 1 (pow x 15)) 1/4)) |
(* -1 (pow (* 1 (pow x 15)) 1/4)) |
(* -1 (pow (* 1 (pow x 15)) 1/4)) |
(* -1 (pow (* 1 (pow x 15)) 1/4)) |
(* -1 (* (exp (* 1/4 (+ (log -1) (* -15 (log (/ -1 x)))))) (sqrt -1))) |
(* -1 (* (exp (* 1/4 (+ (log -1) (* -15 (log (/ -1 x)))))) (sqrt -1))) |
(* -1 (* (exp (* 1/4 (+ (log -1) (* -15 (log (/ -1 x)))))) (sqrt -1))) |
(* -1 (* (exp (* 1/4 (+ (log -1) (* -15 (log (/ -1 x)))))) (sqrt -1))) |
(pow (* 1 (pow x 5)) 1/4) |
(pow (* 1 (pow x 5)) 1/4) |
(pow (* 1 (pow x 5)) 1/4) |
(pow (* 1 (pow x 5)) 1/4) |
(pow (* 1 (pow x 5)) 1/4) |
(pow (* 1 (pow x 5)) 1/4) |
(pow (* 1 (pow x 5)) 1/4) |
(pow (* 1 (pow x 5)) 1/4) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 x)))))) |
(* -1 (sqrt (pow x 5))) |
(* -1 (sqrt (pow x 5))) |
(* -1 (sqrt (pow x 5))) |
(* -1 (sqrt (pow x 5))) |
(* -1 (sqrt (pow x 5))) |
(* -1 (sqrt (pow x 5))) |
(* -1 (sqrt (pow x 5))) |
(* -1 (sqrt (pow x 5))) |
(* (sqrt (pow x 5)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 5)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 5)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 5)) (pow (sqrt -1) 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
| Outputs |
|---|
(* 5 (* (pow eps 4) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* 5 (* (pow eps 4) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* 5 (* (pow eps 4) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(* 5 (/ x eps)) |
(/.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(* 5 (/ x eps)) |
(/.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(* 5 (/ x eps)) |
(/.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 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 x (fma.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps))) |
(* (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 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (+.f64 (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) x)) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 #s(literal 5 binary64) (*.f64 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))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) x))) |
(* (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* 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 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (*.f64 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))))) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) #s(literal 1 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))))))))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
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(* -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))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 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 x (fma.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) (pow.f64 eps #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 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 (pow.f64 x #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) (*.f64 x x))) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 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))))))))) |
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(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
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(* -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))) |
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(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))) (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 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (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 eps (fma.f64 eps (fma.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (*.f64 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))))) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) #s(literal 1 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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (*.f64 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
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(* -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))) |
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eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(neg.f64 (-.f64 (neg.f64 eps) x)) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(neg.f64 (-.f64 (neg.f64 eps) x)) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(neg.f64 (-.f64 (neg.f64 eps) x)) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(neg.f64 (*.f64 eps (-.f64 #s(literal -1 binary64) (/.f64 x eps)))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(neg.f64 (*.f64 eps (-.f64 #s(literal -1 binary64) (/.f64 x eps)))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(neg.f64 (*.f64 eps (-.f64 #s(literal -1 binary64) (/.f64 x eps)))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
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(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
Compiled 28 156 to 1 893 computations (93.3% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 055 | 12 | 1 067 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 059 | 17 | 1 076 |
| Status | Accuracy | Program |
|---|---|---|
| 8.1% | (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) #s(literal 5 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 11.4% | (fma.f64 (pow.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) | |
| ✓ | 40.3% | (fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
| 78.5% | (fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| ✓ | 83.3% | (pow.f64 eps #s(literal 5 binary64)) |
| ▶ | 83.1% | (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
| ✓ | 84.5% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.1% | (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ▶ | 83.5% | (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
| ▶ | 83.0% | (*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| ▶ | 83.1% | (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
| 83.1% | (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) | |
| 83.1% | (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) | |
| 67.5% | (*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) | |
| 83.1% | (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| 83.0% | (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 67.4% | #s(literal 0 binary64) |
Compiled 507 to 309 computations (39.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal 5 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal -5 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 320 | (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
| ✓ | cost-diff | 1792 | (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
| ✓ | cost-diff | 320 | (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
| ✓ | cost-diff | 704 | (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) |
| ✓ | cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
| 4 446× | lower-*.f32 |
| 4 426× | lower-*.f64 |
| 4 426× | lower-fma.f32 |
| 4 422× | lower-fma.f64 |
| 2 054× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 190 |
| 0 | 48 | 180 |
| 1 | 92 | 174 |
| 2 | 193 | 167 |
| 3 | 499 | 167 |
| 4 | 1236 | 167 |
| 5 | 1956 | 165 |
| 6 | 3038 | 165 |
| 7 | 4185 | 165 |
| 8 | 6431 | 165 |
| 0 | 8056 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
#s(literal 0 binary64) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) |
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
x |
(*.f64 x x) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))) |
#s(literal 1 binary64) |
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
(*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(*.f64 eps #s(literal -5 binary64)) |
eps |
#s(literal -5 binary64) |
x |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
| Outputs |
|---|
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
#s(literal 0 binary64) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) |
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
x |
(*.f64 x x) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
(*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 5 binary64)))) x) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(*.f64 eps #s(literal -5 binary64)) |
eps |
#s(literal -5 binary64) |
x |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 eps #s(literal -5 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 (pow.f64 x #s(literal 5 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
| ✓ | accuracy | 98.8% | (*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))) |
| ✓ | accuracy | 79.1% | (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
| ✓ | accuracy | 92.9% | (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) |
| ✓ | accuracy | 79.1% | (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 5 binary64) x eps) |
| ✓ | accuracy | 100.0% | (pow.f64 eps #s(literal 4 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
| 49.0ms | 229× | 0 | valid |
| 7.0ms | 23× | 1 | valid |
| 2.0ms | 4× | 2 | valid |
Compiled 200 to 31 computations (84.5% saved)
ival-mult: 18.0ms (45.6% of total)ival-div: 8.0ms (20.2% of total)ival-pow: 8.0ms (20.2% of total)ival-add: 2.0ms (5.1% of total)adjust: 1.0ms (2.5% of total)exact: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))> |
#<alt (pow.f64 eps #s(literal 4 binary64))> |
#<alt (fma.f64 #s(literal 5 binary64) x eps)> |
#<alt (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x))> |
#<alt (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))> |
#<alt (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))> |
#<alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)> |
#<alt (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))))> |
#<alt (*.f64 x (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64))))> |
#<alt (/.f64 (*.f64 eps #s(literal -5 binary64)) x)> |
#<alt (*.f64 eps #s(literal -5 binary64))> |
#<alt (neg.f64 (pow.f64 x #s(literal 5 binary64)))> |
#<alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))> |
| Outputs |
|---|
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (pow eps 5)> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt eps> |
#<alt (+ eps (* 5 x))> |
#<alt (+ eps (* 5 x))> |
#<alt (+ eps (* 5 x))> |
#<alt (* 5 x)> |
#<alt (* x (+ 5 (/ eps x)))> |
#<alt (* x (+ 5 (/ eps x)))> |
#<alt (* x (+ 5 (/ eps x)))> |
#<alt (* 5 x)> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))> |
#<alt (* 5 x)> |
#<alt (+ eps (* 5 x))> |
#<alt (+ eps (* 5 x))> |
#<alt (+ eps (* 5 x))> |
#<alt eps> |
#<alt (* eps (+ 1 (* 5 (/ x eps))))> |
#<alt (* eps (+ 1 (* 5 (/ x eps))))> |
#<alt (* eps (+ 1 (* 5 (/ x eps))))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))> |
#<alt (* 5 (* eps (pow x 2)))> |
#<alt (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))> |
#<alt (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))> |
#<alt (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))> |
#<alt (* 10 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* 10 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))> |
#<alt (* 10 (* (pow eps 2) x))> |
#<alt (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* 5 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 eps)> |
#<alt (* eps (+ 5 (* 10 (/ eps x))))> |
#<alt (* eps (+ 5 (* 10 (/ eps x))))> |
#<alt (* eps (+ 5 (* 10 (/ eps x))))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)> |
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)> |
#<alt (/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)> |
#<alt (* 5 eps)> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (* 5 eps)> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (/ (pow eps 2) x))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* 5 (* eps (pow x 4)))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 (/ eps x))> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -5 eps)> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (pow x 5))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (* 10 (pow eps 2))> |
#<alt (/ 1/5 eps)> |
#<alt (/ (+ 1/5 (* -2/5 (/ eps x))) eps)> |
#<alt (/ (+ 1/5 (* eps (- (* 4/5 (/ eps (pow x 2))) (* 2/5 (/ 1 x))))) eps)> |
#<alt (/ (+ 1/5 (* eps (- (* eps (+ (* -8/5 (/ eps (pow x 3))) (* 4/5 (/ 1 (pow x 2))))) (* 2/5 (/ 1 x))))) eps)> |
#<alt (* 1/10 (/ x (pow eps 2)))> |
#<alt (/ (+ (* -1/20 (/ (pow x 2) eps)) (* 1/10 x)) (pow eps 2))> |
#<alt (/ (- (+ (* 1/40 (/ (pow x 3) (pow eps 2))) (* 1/10 x)) (* 1/20 (/ (pow x 2) eps))) (pow eps 2))> |
#<alt (/ (- (+ (* -1/80 (/ (pow x 4) (pow eps 3))) (* 1/10 x)) (+ (* -1/40 (/ (pow x 3) (pow eps 2))) (* 1/20 (/ (pow x 2) eps)))) (pow eps 2))> |
#<alt (* 1/10 (/ x (pow eps 2)))> |
#<alt (/ (+ (* -1/20 (/ (pow x 2) eps)) (* 1/10 x)) (pow eps 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1/40 (/ (pow x 3) eps)) (* -1/20 (pow x 2))) eps)) (* 1/10 x)) (pow eps 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/80 (/ (pow x 4) eps)) (* -1/40 (pow x 3))) eps)) (* -1/20 (pow x 2))) eps)) (* 1/10 x)) (pow eps 2))> |
#<alt (* 1/10 (/ x (pow eps 2)))> |
#<alt (* x (+ (* -1/20 (/ x (pow eps 3))) (* 1/10 (/ 1 (pow eps 2)))))> |
#<alt (* x (+ (* x (- (* 1/40 (/ x (pow eps 4))) (* 1/20 (/ 1 (pow eps 3))))) (* 1/10 (/ 1 (pow eps 2)))))> |
#<alt (* x (+ (* x (- (* x (+ (* -1/80 (/ x (pow eps 5))) (* 1/40 (/ 1 (pow eps 4))))) (* 1/20 (/ 1 (pow eps 3))))) (* 1/10 (/ 1 (pow eps 2)))))> |
#<alt (/ 1/5 eps)> |
#<alt (- (* 1/5 (/ 1 eps)) (* 2/5 (/ 1 x)))> |
#<alt (- (+ (* 4/5 (/ eps (pow x 2))) (* 1/5 (/ 1 eps))) (* 2/5 (/ 1 x)))> |
#<alt (- (+ (* -8/5 (/ (pow eps 2) (pow x 3))) (* 1/5 (/ 1 eps))) (+ (* -4/5 (/ eps (pow x 2))) (* 2/5 (/ 1 x))))> |
#<alt (/ 1/5 eps)> |
#<alt (- (* 1/5 (/ 1 eps)) (* 2/5 (/ 1 x)))> |
#<alt (+ (* -1 (/ (+ 2/5 (* -4/5 (/ eps x))) x)) (* 1/5 (/ 1 eps)))> |
#<alt (+ (* -1 (/ (+ 2/5 (* -1 (/ (- (* -8/5 (/ (pow eps 2) x)) (* -4/5 eps)) x))) x)) (* 1/5 (/ 1 eps)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | (* eps -5) |
| 1.0ms | x | @ | 0 | (/ 1 (+ (* eps 5) (/ (* (* eps eps) 10) x))) |
| 1.0ms | eps | @ | 0 | (* (/ (* eps -5) x) (neg (pow x 5))) |
| 0.0ms | eps | @ | inf | (* (/ (* eps -5) x) (neg (pow x 5))) |
| 0.0ms | eps | @ | 0 | (* (+ (* eps 5) (/ (* (* eps eps) 10) x)) (* x x)) |
| 1× | batch-egg-rewrite |
| 8 918× | lower-fma.f32 |
| 8 914× | lower-fma.f64 |
| 6 716× | lower-*.f32 |
| 6 696× | lower-*.f64 |
| 3 192× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 135 |
| 0 | 47 | 125 |
| 1 | 156 | 119 |
| 2 | 937 | 111 |
| 0 | 8387 | 106 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) |
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(*.f64 eps #s(literal -5 binary64)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 #s(literal 5 binary64) x) eps))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 x (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 5 binary64))) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) x)) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 eps (pow.f64 eps #s(literal 3/2 binary64))) (*.f64 eps (pow.f64 eps #s(literal 3/2 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 (*.f64 eps eps) (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps eps))) eps (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) eps) eps (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))))))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x)))) (*.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))) |
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(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))) |
(*.f64 (fma.f64 eps (*.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) (*.f64 eps (-.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) #s(literal 5 binary64)))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 125 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 eps (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 25 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 eps eps)))))) |
(*.f64 (pow.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 125 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 eps (*.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) (*.f64 eps (-.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) #s(literal 5 binary64)))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 125 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) (*.f64 eps (-.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) #s(literal 5 binary64)))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 125 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 eps (*.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) (*.f64 eps (-.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) #s(literal 5 binary64)))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 25 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 eps eps))))) (*.f64 eps (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 25 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 eps eps))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 25 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 eps eps))))) (*.f64 (*.f64 eps (-.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps #s(literal 10 binary64)) x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 10 896× | lower-fma.f64 |
| 10 896× | lower-fma.f32 |
| 5 594× | lower-*.f64 |
| 5 594× | lower-*.f32 |
| 1 798× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 2511 |
| 1 | 649 | 2482 |
| 2 | 1605 | 2432 |
| 3 | 4632 | 2354 |
| 0 | 8206 | 2216 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
eps |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* 5 x) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* 5 x) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
eps |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
eps |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 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 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 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 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 (/ eps x)) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -5 eps) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(/ 1/5 eps) |
(/ (+ 1/5 (* -2/5 (/ eps x))) eps) |
(/ (+ 1/5 (* eps (- (* 4/5 (/ eps (pow x 2))) (* 2/5 (/ 1 x))))) eps) |
(/ (+ 1/5 (* eps (- (* eps (+ (* -8/5 (/ eps (pow x 3))) (* 4/5 (/ 1 (pow x 2))))) (* 2/5 (/ 1 x))))) eps) |
(* 1/10 (/ x (pow eps 2))) |
(/ (+ (* -1/20 (/ (pow x 2) eps)) (* 1/10 x)) (pow eps 2)) |
(/ (- (+ (* 1/40 (/ (pow x 3) (pow eps 2))) (* 1/10 x)) (* 1/20 (/ (pow x 2) eps))) (pow eps 2)) |
(/ (- (+ (* -1/80 (/ (pow x 4) (pow eps 3))) (* 1/10 x)) (+ (* -1/40 (/ (pow x 3) (pow eps 2))) (* 1/20 (/ (pow x 2) eps)))) (pow eps 2)) |
(* 1/10 (/ x (pow eps 2))) |
(/ (+ (* -1/20 (/ (pow x 2) eps)) (* 1/10 x)) (pow eps 2)) |
(/ (+ (* -1 (/ (- (* -1/40 (/ (pow x 3) eps)) (* -1/20 (pow x 2))) eps)) (* 1/10 x)) (pow eps 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/80 (/ (pow x 4) eps)) (* -1/40 (pow x 3))) eps)) (* -1/20 (pow x 2))) eps)) (* 1/10 x)) (pow eps 2)) |
(* 1/10 (/ x (pow eps 2))) |
(* x (+ (* -1/20 (/ x (pow eps 3))) (* 1/10 (/ 1 (pow eps 2))))) |
(* x (+ (* x (- (* 1/40 (/ x (pow eps 4))) (* 1/20 (/ 1 (pow eps 3))))) (* 1/10 (/ 1 (pow eps 2))))) |
(* x (+ (* x (- (* x (+ (* -1/80 (/ x (pow eps 5))) (* 1/40 (/ 1 (pow eps 4))))) (* 1/20 (/ 1 (pow eps 3))))) (* 1/10 (/ 1 (pow eps 2))))) |
(/ 1/5 eps) |
(- (* 1/5 (/ 1 eps)) (* 2/5 (/ 1 x))) |
(- (+ (* 4/5 (/ eps (pow x 2))) (* 1/5 (/ 1 eps))) (* 2/5 (/ 1 x))) |
(- (+ (* -8/5 (/ (pow eps 2) (pow x 3))) (* 1/5 (/ 1 eps))) (+ (* -4/5 (/ eps (pow x 2))) (* 2/5 (/ 1 x)))) |
(/ 1/5 eps) |
(- (* 1/5 (/ 1 eps)) (* 2/5 (/ 1 x))) |
(+ (* -1 (/ (+ 2/5 (* -4/5 (/ eps x))) x)) (* 1/5 (/ 1 eps))) |
(+ (* -1 (/ (+ 2/5 (* -1 (/ (- (* -8/5 (/ (pow eps 2) x)) (* -4/5 eps)) x))) x)) (* 1/5 (/ 1 eps))) |
| Outputs |
|---|
(* 5 (* (pow eps 4) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x x)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x x)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))))) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal -5 binary64)) x) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -5 eps) |
(*.f64 eps #s(literal -5 binary64)) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(/ 1/5 eps) |
(/.f64 #s(literal 1/5 binary64) eps) |
(/ (+ 1/5 (* -2/5 (/ eps x))) eps) |
(/.f64 (fma.f64 eps (/.f64 #s(literal -2/5 binary64) x) #s(literal 1/5 binary64)) eps) |
(/ (+ 1/5 (* eps (- (* 4/5 (/ eps (pow x 2))) (* 2/5 (/ 1 x))))) eps) |
(/.f64 (fma.f64 (/.f64 eps x) (fma.f64 eps (/.f64 #s(literal 4/5 binary64) x) #s(literal -2/5 binary64)) #s(literal 1/5 binary64)) eps) |
(/ (+ 1/5 (* eps (- (* eps (+ (* -8/5 (/ eps (pow x 3))) (* 4/5 (/ 1 (pow x 2))))) (* 2/5 (/ 1 x))))) eps) |
(/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps) |
(* 1/10 (/ x (pow eps 2))) |
(/.f64 (*.f64 x #s(literal 1/10 binary64)) (*.f64 eps eps)) |
(/ (+ (* -1/20 (/ (pow x 2) eps)) (* 1/10 x)) (pow eps 2)) |
(/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal -1/20 binary64) eps) #s(literal 1/10 binary64))) (*.f64 eps eps)) |
(/ (- (+ (* 1/40 (/ (pow x 3) (pow eps 2))) (* 1/10 x)) (* 1/20 (/ (pow x 2) eps))) (pow eps 2)) |
(/.f64 (fma.f64 x #s(literal 1/10 binary64) (*.f64 (/.f64 (*.f64 x x) eps) (fma.f64 (/.f64 x eps) #s(literal 1/40 binary64) #s(literal -1/20 binary64)))) (*.f64 eps eps)) |
(/ (- (+ (* -1/80 (/ (pow x 4) (pow eps 3))) (* 1/10 x)) (+ (* -1/40 (/ (pow x 3) (pow eps 2))) (* 1/20 (/ (pow x 2) eps)))) (pow eps 2)) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/10 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps eps)) #s(literal 1/80 binary64) (*.f64 (*.f64 x x) (fma.f64 x (/.f64 #s(literal -1/40 binary64) eps) #s(literal 1/20 binary64)))) eps)) (*.f64 eps eps)) |
(* 1/10 (/ x (pow eps 2))) |
(/.f64 (*.f64 x #s(literal 1/10 binary64)) (*.f64 eps eps)) |
(/ (+ (* -1/20 (/ (pow x 2) eps)) (* 1/10 x)) (pow eps 2)) |
(/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal -1/20 binary64) eps) #s(literal 1/10 binary64))) (*.f64 eps eps)) |
(/ (+ (* -1 (/ (- (* -1/40 (/ (pow x 3) eps)) (* -1/20 (pow x 2))) eps)) (* 1/10 x)) (pow eps 2)) |
(/.f64 (fma.f64 x #s(literal 1/10 binary64) (*.f64 (/.f64 (*.f64 x x) eps) (fma.f64 (/.f64 x eps) #s(literal 1/40 binary64) #s(literal -1/20 binary64)))) (*.f64 eps eps)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1/80 (/ (pow x 4) eps)) (* -1/40 (pow x 3))) eps)) (* -1/20 (pow x 2))) eps)) (* 1/10 x)) (pow eps 2)) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/10 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps eps)) #s(literal 1/80 binary64) (*.f64 (*.f64 x x) (fma.f64 x (/.f64 #s(literal -1/40 binary64) eps) #s(literal 1/20 binary64)))) eps)) (*.f64 eps eps)) |
(* 1/10 (/ x (pow eps 2))) |
(/.f64 (*.f64 x #s(literal 1/10 binary64)) (*.f64 eps eps)) |
(* x (+ (* -1/20 (/ x (pow eps 3))) (* 1/10 (/ 1 (pow eps 2))))) |
(/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal -1/20 binary64) eps) #s(literal 1/10 binary64))) (*.f64 eps eps)) |
(* x (+ (* x (- (* 1/40 (/ x (pow eps 4))) (* 1/20 (/ 1 (pow eps 3))))) (* 1/10 (/ 1 (pow eps 2))))) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/40 binary64))) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal -1/20 binary64) eps) #s(literal 1/10 binary64))) (*.f64 eps eps))) |
(* x (+ (* x (- (* x (+ (* -1/80 (/ x (pow eps 5))) (* 1/40 (/ 1 (pow eps 4))))) (* 1/20 (/ 1 (pow eps 3))))) (* 1/10 (/ 1 (pow eps 2))))) |
(fma.f64 x (*.f64 x (*.f64 (/.f64 x (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/40 binary64) (/.f64 (*.f64 x #s(literal -1/80 binary64)) eps)))) (/.f64 (*.f64 x (fma.f64 x (/.f64 #s(literal -1/20 binary64) eps) #s(literal 1/10 binary64))) (*.f64 eps eps))) |
(/ 1/5 eps) |
(/.f64 #s(literal 1/5 binary64) eps) |
(- (* 1/5 (/ 1 eps)) (* 2/5 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/5 binary64) eps) (/.f64 #s(literal -2/5 binary64) x)) |
(- (+ (* 4/5 (/ eps (pow x 2))) (* 1/5 (/ 1 eps))) (* 2/5 (/ 1 x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 eps (/.f64 #s(literal -4/5 binary64) x) #s(literal 2/5 binary64)) (/.f64 #s(literal 1/5 binary64) eps)) |
(- (+ (* -8/5 (/ (pow eps 2) (pow x 3))) (* 1/5 (/ 1 eps))) (+ (* -4/5 (/ eps (pow x 2))) (* 2/5 (/ 1 x)))) |
(+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps)) |
(/ 1/5 eps) |
(/.f64 #s(literal 1/5 binary64) eps) |
(- (* 1/5 (/ 1 eps)) (* 2/5 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/5 binary64) eps) (/.f64 #s(literal -2/5 binary64) x)) |
(+ (* -1 (/ (+ 2/5 (* -4/5 (/ eps x))) x)) (* 1/5 (/ 1 eps))) |
(+.f64 (/.f64 #s(literal 1/5 binary64) eps) (/.f64 (fma.f64 eps (/.f64 #s(literal 4/5 binary64) x) #s(literal -2/5 binary64)) x)) |
(+ (* -1 (/ (+ 2/5 (* -1 (/ (- (* -8/5 (/ (pow eps 2) x)) (* -4/5 eps)) x))) x)) (* 1/5 (/ 1 eps))) |
(+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps)) |
Compiled 54 677 to 3 468 computations (93.7% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 085 | 16 | 2 101 |
| Fresh | 4 | 5 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 093 | 25 | 2 118 |
| Status | Accuracy | Program |
|---|---|---|
| 8.1% | (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) #s(literal 5 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 11.4% | (fma.f64 (pow.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) | |
| ✓ | 40.3% | (fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
| 78.5% | (fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| ✓ | 83.3% | (pow.f64 eps #s(literal 5 binary64)) |
| 58.4% | (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) | |
| 83.1% | (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps)) | |
| 83.1% | (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps))) | |
| ▶ | 83.4% | (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
| 83.1% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) | |
| ✓ | 84.5% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 59.5% | (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
| ▶ | 83.4% | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
| 83.1% | (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) | |
| 83.4% | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) | |
| 83.0% | (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) | |
| ▶ | 83.0% | (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
| 83.4% | (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) | |
| 83.0% | (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) | |
| 83.0% | (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) | |
| 83.0% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) | |
| 83.1% | (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) | |
| 67.5% | (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) | |
| ▶ | 67.5% | (*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
| ✓ | 67.4% | #s(literal 0 binary64) |
Compiled 864 to 498 computations (42.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
| ✓ | cost-diff | 128 | (+.f64 eps (*.f64 x #s(literal -5 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps (*.f64 eps eps))) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps (*.f64 eps eps))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
| 3 734× | lower-*.f32 |
| 3 698× | lower-*.f64 |
| 3 292× | associate-*r* |
| 1 588× | associate-*l* |
| 1 210× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 300 |
| 0 | 60 | 252 |
| 1 | 117 | 228 |
| 2 | 301 | 228 |
| 3 | 835 | 228 |
| 4 | 1317 | 228 |
| 5 | 1866 | 228 |
| 6 | 2511 | 228 |
| 7 | 2885 | 228 |
| 8 | 3137 | 228 |
| 9 | 3269 | 228 |
| 10 | 3293 | 228 |
| 11 | 3321 | 228 |
| 12 | 3321 | 228 |
| 13 | 3467 | 228 |
| 14 | 3509 | 228 |
| 15 | 3509 | 228 |
| 16 | 4543 | 228 |
| 17 | 5065 | 228 |
| 18 | 5101 | 228 |
| 19 | 5101 | 228 |
| 20 | 6230 | 228 |
| 21 | 6246 | 228 |
| 22 | 6247 | 228 |
| 23 | 6247 | 228 |
| 24 | 6247 | 228 |
| 25 | 6335 | 228 |
| 26 | 6336 | 228 |
| 27 | 6336 | 228 |
| 0 | 6336 | 221 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
eps |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 10 binary64) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
eps |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) |
eps |
(*.f64 eps eps) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 125 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
#s(literal 1 binary64) |
(fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64)))) |
(+.f64 eps (*.f64 x #s(literal -5 binary64))) |
(*.f64 x #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(*.f64 x #s(literal 25 binary64)) |
#s(literal 25 binary64) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
eps |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x eps)))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 10 binary64) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 eps (*.f64 eps (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
eps |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 eps (fma.f64 x (*.f64 (*.f64 x x) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) |
(fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps))) |
eps |
(*.f64 eps eps) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 125 binary64))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 125 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
#s(literal 1 binary64) |
(fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))) |
(+.f64 eps (*.f64 x #s(literal -5 binary64))) |
(fma.f64 x #s(literal -5 binary64) eps) |
(*.f64 x #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(*.f64 (*.f64 x x) #s(literal 25 binary64)) |
(*.f64 x #s(literal 25 binary64)) |
#s(literal 25 binary64) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 25 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
| ✓ | accuracy | 61.2% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 eps (*.f64 eps eps))) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 eps eps)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 eps (*.f64 eps eps))) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 eps eps)) |
| 95.0ms | 23× | 1 | valid |
| 49.0ms | 229× | 0 | valid |
| 2.0ms | 4× | 2 | valid |
Compiled 313 to 37 computations (88.2% saved)
ival-add: 91.0ms (72.5% of total)ival-mult: 28.0ms (22.3% of total)ival-div: 5.0ms (4% of total)adjust: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))> |
#<alt (fma.f64 #s(literal 5 binary64) x eps)> |
#<alt (*.f64 eps (*.f64 eps (*.f64 eps eps)))> |
#<alt (*.f64 eps (*.f64 eps eps))> |
#<alt (*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))> |
#<alt (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))> |
#<alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps)> |
#<alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))> |
#<alt (*.f64 x (*.f64 x (*.f64 x x)))> |
#<alt (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))> |
#<alt (*.f64 eps eps)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))> |
#<alt (+.f64 eps (*.f64 x #s(literal -5 binary64)))> |
#<alt (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))> |
#<alt (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64)))))> |
#<alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))> |
#<alt (*.f64 x (*.f64 x #s(literal 25 binary64)))> |
| Outputs |
|---|
#<alt (pow eps 5)> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
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#<alt (* (pow eps 4) (+ eps (* 5 x)))> |
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#<alt (pow eps 5)> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (pow eps 5)> |
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#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt eps> |
#<alt (+ eps (* 5 x))> |
#<alt (+ eps (* 5 x))> |
#<alt (+ eps (* 5 x))> |
#<alt (* 5 x)> |
#<alt (* x (+ 5 (/ eps x)))> |
#<alt (* x (+ 5 (/ eps x)))> |
#<alt (* x (+ 5 (/ eps x)))> |
#<alt (* 5 x)> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))> |
#<alt (* 5 x)> |
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#<alt (+ eps (* 5 x))> |
#<alt (+ eps (* 5 x))> |
#<alt eps> |
#<alt (* eps (+ 1 (* 5 (/ x eps))))> |
#<alt (* eps (+ 1 (* 5 (/ x eps))))> |
#<alt (* eps (+ 1 (* 5 (/ x eps))))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))> |
#<alt (pow eps 4)> |
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#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 4)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
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#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
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#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* (pow eps 2) (pow x 3)))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* 10 (* eps (pow x 3)))> |
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#<alt (* 10 (* eps (pow x 3)))> |
#<alt (* 10 (* eps (pow x 3)))> |
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#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
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#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
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#<alt (* 5 (* eps (pow x 4)))> |
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#<alt (* 5 (* eps (pow x 4)))> |
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#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (* 5 (pow x 4))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (* 5 (* (pow eps 4) x))> |
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#<alt (pow eps 5)> |
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#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))> |
#<alt (pow eps 5)> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))> |
#<alt (pow eps 5)> |
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#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (* 5 (* (pow eps 4) x))> |
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#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (* 1/25 (/ (pow eps 4) (pow x 2)))> |
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#<alt (* (pow eps 4) (+ (* eps (+ (* -1/3125 (/ (pow eps 2) (pow x 5))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2)))))> |
#<alt (* (pow eps 4) (+ (* eps (+ (* (pow eps 2) (- (* -1/15625 (/ eps (pow x 6))) (* 1/3125 (/ 1 (pow x 5))))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2)))))> |
#<alt (pow eps 2)> |
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#<alt (pow eps 2)> |
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#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (+ (* -25 (/ (pow x 2) eps)) (* 25 (/ (pow x 2) eps))) (* 5 x)) eps))))> |
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -125 (/ (pow x 3) eps)) (* -5 (/ (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps))) (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps)) (* 5 x)) eps))))> |
#<alt (pow eps 2)> |
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#<alt (/ (- (+ (* -1 (/ (+ (* 1/3125 (pow eps 7)) (* 1/5 (* eps (+ (* -1/625 (pow eps 6)) (* 1/625 (pow eps 6)))))) (pow x 3))) (* 1/25 (pow eps 4))) (+ (* -1/125 (/ (pow eps 5) x)) (+ (* -1/625 (/ (pow eps 6) (pow x 2))) (* 1/625 (/ (pow eps 6) (pow x 2)))))) (pow x 2))> |
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#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/5 (/ (* eps (+ (* -1/625 (pow eps 6)) (* 1/625 (pow eps 6)))) x)) (* -1/3125 (/ (pow eps 7) x))) (+ (* -1/625 (pow eps 6)) (* 1/625 (pow eps 6)))) x)) (* 1/125 (pow eps 5))) x)) (* 1/25 (pow eps 4))) (pow x 2))> |
#<alt (* -5 x)> |
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#<alt (+ eps (* -5 x))> |
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#<alt eps> |
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#<alt (* eps (+ 1 (* -5 (/ x eps))))> |
#<alt (* eps (+ 1 (* -5 (/ x eps))))> |
#<alt eps> |
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#<alt (* -1 (* eps (- (* 5 (/ x eps)) 1)))> |
#<alt eps> |
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#<alt (+ eps (* -5 x))> |
#<alt (+ eps (* -5 x))> |
#<alt (* -5 x)> |
#<alt (* x (- (/ eps x) 5))> |
#<alt (* x (- (/ eps x) 5))> |
#<alt (* x (- (/ eps x) 5))> |
#<alt (* -5 x)> |
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#<alt (pow eps 5)> |
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#<alt (pow eps 5)> |
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#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (- (+ (* -25 (/ (pow x 2) eps)) (* 25 (/ (pow x 2) eps))) (* -5 x)) eps)) 1)))> |
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (- (* -1 (/ (- (* -5 (/ (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps)) (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps)) (* -5 x)) eps)) 1)))> |
#<alt (pow eps 5)> |
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -25 (pow eps 3)) (* 25 (pow eps 3))))) (* -5 (pow eps 4)))) (pow eps 5))> |
#<alt (+ (* x (- (* x (- (* -5 (/ (* x (+ (* -25 (pow eps 3)) (* 25 (pow eps 3)))) eps)) (+ (* -25 (pow eps 3)) (* 25 (pow eps 3))))) (* -5 (pow eps 4)))) (pow eps 5))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))> |
#<alt (* x (- (+ (* -1 (/ (+ (* -1/5 (pow eps 6)) (* 1/5 (pow eps 6))) (pow x 2))) (* 5 (pow eps 4))) (* -1 (/ (pow eps 5) x))))> |
#<alt (* x (- (+ (* -1/5 (/ (* eps (+ (* -1/5 (pow eps 6)) (* 1/5 (pow eps 6)))) (pow x 3))) (* 5 (pow eps 4))) (+ (* -1 (/ (pow eps 5) x)) (+ (* -1/5 (/ (pow eps 6) (pow x 2))) (* 1/5 (/ (pow eps 6) (pow x 2)))))))> |
#<alt (* 5 (* (pow eps 4) x))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (- (+ (* -1/5 (/ (pow eps 6) x)) (* 1/5 (/ (pow eps 6) x))) (* -1 (pow eps 5))) x)))))> |
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (- (* -1 (/ (- (* -1/5 (/ (* eps (+ (* -1/5 (pow eps 6)) (* 1/5 (pow eps 6)))) x)) (+ (* -1/5 (pow eps 6)) (* 1/5 (pow eps 6)))) x)) (* -1 (pow eps 5))) x)))))> |
#<alt (* 125 (pow x 3))> |
#<alt (+ (* 125 (pow x 3)) (pow eps 3))> |
#<alt (+ (* 125 (pow x 3)) (pow eps 3))> |
#<alt (+ (* 125 (pow x 3)) (pow eps 3))> |
#<alt (pow eps 3)> |
#<alt (* (pow eps 3) (+ 1 (* 125 (/ (pow x 3) (pow eps 3)))))> |
#<alt (* (pow eps 3) (+ 1 (* 125 (/ (pow x 3) (pow eps 3)))))> |
#<alt (* (pow eps 3) (+ 1 (* 125 (/ (pow x 3) (pow eps 3)))))> |
#<alt (pow eps 3)> |
#<alt (* -1 (* (pow eps 3) (- (* -125 (/ (pow x 3) (pow eps 3))) 1)))> |
#<alt (* -1 (* (pow eps 3) (- (* -125 (/ (pow x 3) (pow eps 3))) 1)))> |
#<alt (* -1 (* (pow eps 3) (- (* -125 (/ (pow x 3) (pow eps 3))) 1)))> |
#<alt (pow eps 3)> |
#<alt (+ (* 125 (pow x 3)) (pow eps 3))> |
#<alt (+ (* 125 (pow x 3)) (pow eps 3))> |
#<alt (+ (* 125 (pow x 3)) (pow eps 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* (pow x 3) (+ 125 (/ (pow eps 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 125 (/ (pow eps 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 125 (/ (pow eps 3) (pow x 3))))> |
#<alt (* 125 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 125)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 125)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 125)))> |
#<alt (/ 1 eps)> |
#<alt (+ (* -5 (/ x (pow eps 2))) (/ 1 eps))> |
#<alt (+ (* x (- (* 25 (/ x (pow eps 3))) (* 5 (/ 1 (pow eps 2))))) (/ 1 eps))> |
#<alt (+ (* x (- (* x (+ (* -125 (/ x (pow eps 4))) (* 25 (/ 1 (pow eps 3))))) (* 5 (/ 1 (pow eps 2))))) (/ 1 eps))> |
#<alt (/ 1/5 x)> |
#<alt (/ (+ 1/5 (* -1/25 (/ eps x))) x)> |
#<alt (/ (- (+ 1/5 (* 1/125 (/ (pow eps 2) (pow x 2)))) (* 1/25 (/ eps x))) x)> |
#<alt (/ (- (+ 1/5 (* -1/625 (/ (pow eps 3) (pow x 3)))) (+ (* -1/125 (/ (pow eps 2) (pow x 2))) (* 1/25 (/ eps x)))) x)> |
#<alt (/ 1/5 x)> |
#<alt (* -1 (/ (- (* 1/25 (/ eps x)) 1/5) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/125 (/ (pow eps 2) x)) (* 1/25 eps)) x)) 1/5) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/625 (/ (pow eps 3) x)) (* 1/125 (pow eps 2))) x)) (* 1/25 eps)) x)) 1/5) x))> |
#<alt (/ 1/5 x)> |
#<alt (+ (* -1/25 (/ eps (pow x 2))) (* 1/5 (/ 1 x)))> |
#<alt (+ (* eps (- (* 1/125 (/ eps (pow x 3))) (* 1/25 (/ 1 (pow x 2))))) (* 1/5 (/ 1 x)))> |
#<alt (+ (* eps (- (* eps (+ (* -1/625 (/ eps (pow x 4))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2))))) (* 1/5 (/ 1 x)))> |
#<alt (/ 1 eps)> |
#<alt (/ (+ 1 (* -5 (/ x eps))) eps)> |
#<alt (/ (- (+ 1 (* 25 (/ (pow x 2) (pow eps 2)))) (* 5 (/ x eps))) eps)> |
#<alt (/ (- (+ 1 (* -125 (/ (pow x 3) (pow eps 3)))) (+ (* -25 (/ (pow x 2) (pow eps 2))) (* 5 (/ x eps)))) eps)> |
#<alt (/ 1 eps)> |
#<alt (* -1 (/ (- (* 5 (/ x eps)) 1) eps))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 25 (/ (pow x 2) eps)) (* 5 x)) eps)) 1) eps))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 125 (/ (pow x 3) eps)) (* 25 (pow x 2))) eps)) (* 5 x)) eps)) 1) eps))> |
#<alt (/ 1/25 (pow x 2))> |
#<alt (+ (* 1/125 (/ eps (pow x 3))) (* 1/25 (/ 1 (pow x 2))))> |
#<alt (+ (* eps (+ (* -1/3125 (/ (pow eps 2) (pow x 5))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2))))> |
#<alt (+ (* eps (+ (* (pow eps 2) (- (* -1/15625 (/ eps (pow x 6))) (* 1/3125 (/ 1 (pow x 5))))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2))))> |
#<alt (/ 1 (pow eps 2))> |
#<alt (/ (+ 1 (* 5 (/ x eps))) (pow eps 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -25 (pow x 2)) (* 25 (pow x 2))) (pow eps 2)))) (* -5 (/ x eps))) (pow eps 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* 5 (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2))))) (* 125 (pow x 3))) (pow eps 3)))) (+ (* -25 (/ (pow x 2) (pow eps 2))) (+ (* -5 (/ x eps)) (* 25 (/ (pow x 2) (pow eps 2)))))) (pow eps 2))> |
#<alt (/ 1 (pow eps 2))> |
#<alt (/ (+ 1 (* 5 (/ x eps))) (pow eps 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -25 (/ (pow x 2) eps)) (* 25 (/ (pow x 2) eps))) (* 5 x)) eps))) (pow eps 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -125 (/ (pow x 3) eps)) (* -5 (/ (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps))) (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps)) (* 5 x)) eps))) (pow eps 2))> |
#<alt (/ 1 (pow eps 2))> |
#<alt (+ (* 5 (/ x (pow eps 3))) (/ 1 (pow eps 2)))> |
#<alt (+ (* x (+ (* -125 (/ (pow x 2) (pow eps 5))) (* 5 (/ 1 (pow eps 3))))) (/ 1 (pow eps 2)))> |
#<alt (+ (* x (+ (* (pow x 2) (- (* -625 (/ x (pow eps 6))) (* 125 (/ 1 (pow eps 5))))) (* 5 (/ 1 (pow eps 3))))) (/ 1 (pow eps 2)))> |
#<alt (/ 1/25 (pow x 2))> |
#<alt (/ (+ 1/25 (* 1/125 (/ eps x))) (pow x 2))> |
#<alt (/ (- (+ 1/25 (* -1 (/ (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2))) (pow x 2)))) (* -1/125 (/ eps x))) (pow x 2))> |
#<alt (/ (- (+ 1/25 (* -1 (/ (+ (* 1/3125 (pow eps 3)) (* 1/5 (* eps (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2)))))) (pow x 3)))) (+ (* -1/125 (/ eps x)) (+ (* -1/625 (/ (pow eps 2) (pow x 2))) (* 1/625 (/ (pow eps 2) (pow x 2)))))) (pow x 2))> |
#<alt (/ 1/25 (pow x 2))> |
#<alt (/ (+ 1/25 (* 1/125 (/ eps x))) (pow x 2))> |
#<alt (/ (+ 1/25 (* -1 (/ (- (+ (* -1/625 (/ (pow eps 2) x)) (* 1/625 (/ (pow eps 2) x))) (* 1/125 eps)) x))) (pow x 2))> |
#<alt (/ (+ 1/25 (* -1 (/ (- (* -1 (/ (- (+ (* -1/5 (/ (* eps (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2)))) x)) (* -1/3125 (/ (pow eps 3) x))) (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2)))) x)) (* 1/125 eps)) x))) (pow x 2))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 125 (pow x 3))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
#<alt (* 25 (pow x 2))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | inf | (* eps (* eps (* (* x (* x x)) 10))) |
| 1.0ms | eps | @ | 0 | (* (+ (* eps (* eps eps)) (* (* x (* x x)) 125)) (* (/ 1 (+ (* eps (+ eps (* x -5))) (* x (* x 25)))) (* eps (* eps (* eps eps))))) |
| 1.0ms | eps | @ | 0 | (* eps (* eps (* (* x (* x x)) 10))) |
| 1.0ms | x | @ | inf | (* (/ 1 (+ (* eps (+ eps (* x -5))) (* x (* x 25)))) (* eps (* eps (* eps eps)))) |
| 1.0ms | eps | @ | 0 | (* (/ 1 (+ (* eps (+ eps (* x -5))) (* x (* x 25)))) (* eps (* eps (* eps eps)))) |
| 1× | batch-egg-rewrite |
| 8 698× | lower-fma.f32 |
| 8 692× | lower-fma.f64 |
| 4 706× | lower-*.f32 |
| 4 670× | lower-*.f64 |
| 3 222× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 210 |
| 0 | 60 | 154 |
| 1 | 184 | 136 |
| 2 | 1267 | 136 |
| 0 | 9007 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 eps eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(+.f64 eps (*.f64 x #s(literal -5 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)) |
(/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps (*.f64 eps eps))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps (*.f64 eps eps)))) |
(+.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(+.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))))) |
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(+.f64 (*.f64 (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (neg.f64 eps)) (*.f64 (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 x #s(literal -5 binary64)))) |
(+.f64 (*.f64 (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 x #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (neg.f64 eps))) |
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 eps) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 x #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(+.f64 (*.f64 (*.f64 x #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (neg.f64 eps) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 x #s(literal -5 binary64)) eps))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 x #s(literal -5 binary64)) eps))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x)))) |
(fma.f64 (*.f64 x #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (neg.f64 eps) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps (*.f64 eps eps)))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 x #s(literal -5 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (neg.f64 eps))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (neg.f64 eps) (*.f64 (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 x #s(literal -5 binary64)))) |
(fma.f64 (neg.f64 eps) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 x #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x))) |
(fma.f64 (*.f64 eps (pow.f64 eps #s(literal 3/2 binary64))) (*.f64 eps (pow.f64 eps #s(literal 3/2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 #s(literal 5 binary64) x))) |
(neg.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 x #s(literal -5 binary64)) eps))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))) |
(neg.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (*.f64 x #s(literal -5 binary64)) eps)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(/.f64 eps (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
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(*.f64 (fma.f64 eps (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))) (*.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (neg.f64 eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (fma.f64 x #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 15625 binary64)))))) |
(*.f64 (fma.f64 eps (fma.f64 x #s(literal -5 binary64) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -625 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (fma.f64 x #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 15625 binary64))))) (fma.f64 eps (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))) (*.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (neg.f64 eps)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (fma.f64 x #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 15625 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))) (*.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (neg.f64 eps)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -625 binary64)))) (fma.f64 eps (fma.f64 x #s(literal -5 binary64) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (fma.f64 x #s(literal -5 binary64) eps) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -625 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x #s(literal -5 binary64) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -5 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 5 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 25 binary64)))) #s(literal 3/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) |
(pow.f64 (*.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal -5 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -5 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 5 binary64) x))) #s(literal 3 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 125 binary64))) |
(*.f64 x (neg.f64 (*.f64 (*.f64 x x) #s(literal 125 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 125 binary64))) |
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x #s(literal 125 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -125 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 25 binary64) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x #s(literal -5 binary64)) (*.f64 x (*.f64 x #s(literal 25 binary64)))) |
(*.f64 #s(literal 125 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 125 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 x (*.f64 x #s(literal 25 binary64)))) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal -25 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) (*.f64 x #s(literal -5 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 125 binary64)) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 125 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -125 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -25 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (pow.f64 (*.f64 x #s(literal -5 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal -5 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 25 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -5 binary64) (*.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (*.f64 #s(literal 5 binary64) x)) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 125 binary64))) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 125 binary64)) |
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 x #s(literal 125 binary64))) |
(*.f64 (*.f64 #s(literal 125 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 125 binary64) x) (*.f64 x (neg.f64 x))) |
(*.f64 (pow.f64 #s(literal 5 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 5 binary64) x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 25 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 25 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 #s(literal -5 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -5 binary64)) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -5 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -5 binary64)) #s(literal -5 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal 5 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 25 binary64))) #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 125 binary64))) x) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (*.f64 #s(literal 125 binary64) x)) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -5 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 5 binary64) x)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x #s(literal -5 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 2 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 #s(literal 5 binary64) x))) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(*.f64 x (*.f64 #s(literal -5 binary64) (*.f64 x #s(literal -5 binary64)))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 x x) #s(literal 25 binary64)) |
(*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x #s(literal -5 binary64)))) |
(*.f64 (*.f64 x #s(literal -5 binary64)) (*.f64 x #s(literal -5 binary64))) |
(*.f64 #s(literal 25 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 25 binary64)) x) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 x #s(literal -5 binary64)) x) #s(literal -5 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal -5 binary64)) #s(literal -5 binary64)) x) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 5 binary64)) x) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) #s(literal 5 binary64)) |
(*.f64 (pow.f64 (*.f64 x #s(literal -5 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal -5 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) x) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 5 954× | lower-fma.f64 |
| 5 954× | lower-fma.f32 |
| 4 596× | lower-*.f64 |
| 4 596× | lower-*.f32 |
| 2 460× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 3515 |
| 1 | 1540 | 3345 |
| 2 | 5038 | 3245 |
| 0 | 8743 | 3082 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
eps |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* 5 x) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* 5 x) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
eps |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
eps |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (* eps (pow x 3))) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(* 1/25 (/ (pow eps 4) (pow x 2))) |
(* (pow eps 4) (+ (* 1/125 (/ eps (pow x 3))) (* 1/25 (/ 1 (pow x 2))))) |
(* (pow eps 4) (+ (* eps (+ (* -1/3125 (/ (pow eps 2) (pow x 5))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2))))) |
(* (pow eps 4) (+ (* eps (+ (* (pow eps 2) (- (* -1/15625 (/ eps (pow x 6))) (* 1/3125 (/ 1 (pow x 5))))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (- (+ 1 (* -1 (/ (+ (* -25 (pow x 2)) (* 25 (pow x 2))) (pow eps 2)))) (* -5 (/ x eps)))) |
(* (pow eps 2) (- (+ 1 (* -1 (/ (+ (* 5 (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2))))) (* 125 (pow x 3))) (pow eps 3)))) (+ (* -25 (/ (pow x 2) (pow eps 2))) (+ (* -5 (/ x eps)) (* 25 (/ (pow x 2) (pow eps 2))))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (- (+ (* -25 (/ (pow x 2) eps)) (* 25 (/ (pow x 2) eps))) (* 5 x)) eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -125 (/ (pow x 3) eps)) (* -5 (/ (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps))) (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps)) (* 5 x)) eps)))) |
(pow eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* x (- (* -125 (/ (pow x 2) eps)) (* -5 eps))) (pow eps 2)) |
(+ (* x (- (* (pow x 2) (- (* -625 (/ x (pow eps 2))) (* 125 (/ 1 eps)))) (* -5 eps))) (pow eps 2)) |
(* 1/25 (/ (pow eps 4) (pow x 2))) |
(/ (+ (* 1/125 (/ (pow eps 5) x)) (* 1/25 (pow eps 4))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/625 (pow eps 6)) (* 1/625 (pow eps 6))) (pow x 2))) (* 1/25 (pow eps 4))) (* -1/125 (/ (pow eps 5) x))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* 1/3125 (pow eps 7)) (* 1/5 (* eps (+ (* -1/625 (pow eps 6)) (* 1/625 (pow eps 6)))))) (pow x 3))) (* 1/25 (pow eps 4))) (+ (* -1/125 (/ (pow eps 5) x)) (+ (* -1/625 (/ (pow eps 6) (pow x 2))) (* 1/625 (/ (pow eps 6) (pow x 2)))))) (pow x 2)) |
(* 1/25 (/ (pow eps 4) (pow x 2))) |
(/ (+ (* 1/125 (/ (pow eps 5) x)) (* 1/25 (pow eps 4))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -1/625 (/ (pow eps 6) x)) (* 1/625 (/ (pow eps 6) x))) (* 1/125 (pow eps 5))) x)) (* 1/25 (pow eps 4))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/5 (/ (* eps (+ (* -1/625 (pow eps 6)) (* 1/625 (pow eps 6)))) x)) (* -1/3125 (/ (pow eps 7) x))) (+ (* -1/625 (pow eps 6)) (* 1/625 (pow eps 6)))) x)) (* 1/125 (pow eps 5))) x)) (* 1/25 (pow eps 4))) (pow x 2)) |
(* -5 x) |
(+ eps (* -5 x)) |
(+ eps (* -5 x)) |
(+ eps (* -5 x)) |
eps |
(* eps (+ 1 (* -5 (/ x eps)))) |
(* eps (+ 1 (* -5 (/ x eps)))) |
(* eps (+ 1 (* -5 (/ x eps)))) |
eps |
(* -1 (* eps (- (* 5 (/ x eps)) 1))) |
(* -1 (* eps (- (* 5 (/ x eps)) 1))) |
(* -1 (* eps (- (* 5 (/ x eps)) 1))) |
eps |
(+ eps (* -5 x)) |
(+ eps (* -5 x)) |
(+ eps (* -5 x)) |
(* -5 x) |
(* x (- (/ eps x) 5)) |
(* x (- (/ eps x) 5)) |
(* x (- (/ eps x) 5)) |
(* -5 x) |
(* -1 (* x (+ 5 (* -1 (/ eps x))))) |
(* -1 (* x (+ 5 (* -1 (/ eps x))))) |
(* -1 (* x (+ 5 (* -1 (/ eps x))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (- (+ 1 (* -1 (/ (+ (* -25 (pow x 2)) (* 25 (pow x 2))) (pow eps 2)))) (* -5 (/ x eps)))) |
(* (pow eps 5) (- (+ 1 (* -5 (/ (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) (pow eps 3)))) (+ (* -25 (/ (pow x 2) (pow eps 2))) (+ (* -5 (/ x eps)) (* 25 (/ (pow x 2) (pow eps 2))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (- (+ (* -25 (/ (pow x 2) eps)) (* 25 (/ (pow x 2) eps))) (* -5 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (- (* -1 (/ (- (* -5 (/ (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps)) (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps)) (* -5 x)) eps)) 1))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (- (* -1 (* x (+ (* -25 (pow eps 3)) (* 25 (pow eps 3))))) (* -5 (pow eps 4)))) (pow eps 5)) |
(+ (* x (- (* x (- (* -5 (/ (* x (+ (* -25 (pow eps 3)) (* 25 (pow eps 3)))) eps)) (+ (* -25 (pow eps 3)) (* 25 (pow eps 3))))) (* -5 (pow eps 4)))) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (- (+ (* -1 (/ (+ (* -1/5 (pow eps 6)) (* 1/5 (pow eps 6))) (pow x 2))) (* 5 (pow eps 4))) (* -1 (/ (pow eps 5) x)))) |
(* x (- (+ (* -1/5 (/ (* eps (+ (* -1/5 (pow eps 6)) (* 1/5 (pow eps 6)))) (pow x 3))) (* 5 (pow eps 4))) (+ (* -1 (/ (pow eps 5) x)) (+ (* -1/5 (/ (pow eps 6) (pow x 2))) (* 1/5 (/ (pow eps 6) (pow x 2))))))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (- (+ (* -1/5 (/ (pow eps 6) x)) (* 1/5 (/ (pow eps 6) x))) (* -1 (pow eps 5))) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (- (* -1 (/ (- (* -1/5 (/ (* eps (+ (* -1/5 (pow eps 6)) (* 1/5 (pow eps 6)))) x)) (+ (* -1/5 (pow eps 6)) (* 1/5 (pow eps 6)))) x)) (* -1 (pow eps 5))) x))))) |
(* 125 (pow x 3)) |
(+ (* 125 (pow x 3)) (pow eps 3)) |
(+ (* 125 (pow x 3)) (pow eps 3)) |
(+ (* 125 (pow x 3)) (pow eps 3)) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (* 125 (/ (pow x 3) (pow eps 3))))) |
(* (pow eps 3) (+ 1 (* 125 (/ (pow x 3) (pow eps 3))))) |
(* (pow eps 3) (+ 1 (* 125 (/ (pow x 3) (pow eps 3))))) |
(pow eps 3) |
(* -1 (* (pow eps 3) (- (* -125 (/ (pow x 3) (pow eps 3))) 1))) |
(* -1 (* (pow eps 3) (- (* -125 (/ (pow x 3) (pow eps 3))) 1))) |
(* -1 (* (pow eps 3) (- (* -125 (/ (pow x 3) (pow eps 3))) 1))) |
(pow eps 3) |
(+ (* 125 (pow x 3)) (pow eps 3)) |
(+ (* 125 (pow x 3)) (pow eps 3)) |
(+ (* 125 (pow x 3)) (pow eps 3)) |
(* 125 (pow x 3)) |
(* (pow x 3) (+ 125 (/ (pow eps 3) (pow x 3)))) |
(* (pow x 3) (+ 125 (/ (pow eps 3) (pow x 3)))) |
(* (pow x 3) (+ 125 (/ (pow eps 3) (pow x 3)))) |
(* 125 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 125))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 125))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 125))) |
(/ 1 eps) |
(+ (* -5 (/ x (pow eps 2))) (/ 1 eps)) |
(+ (* x (- (* 25 (/ x (pow eps 3))) (* 5 (/ 1 (pow eps 2))))) (/ 1 eps)) |
(+ (* x (- (* x (+ (* -125 (/ x (pow eps 4))) (* 25 (/ 1 (pow eps 3))))) (* 5 (/ 1 (pow eps 2))))) (/ 1 eps)) |
(/ 1/5 x) |
(/ (+ 1/5 (* -1/25 (/ eps x))) x) |
(/ (- (+ 1/5 (* 1/125 (/ (pow eps 2) (pow x 2)))) (* 1/25 (/ eps x))) x) |
(/ (- (+ 1/5 (* -1/625 (/ (pow eps 3) (pow x 3)))) (+ (* -1/125 (/ (pow eps 2) (pow x 2))) (* 1/25 (/ eps x)))) x) |
(/ 1/5 x) |
(* -1 (/ (- (* 1/25 (/ eps x)) 1/5) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/125 (/ (pow eps 2) x)) (* 1/25 eps)) x)) 1/5) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/625 (/ (pow eps 3) x)) (* 1/125 (pow eps 2))) x)) (* 1/25 eps)) x)) 1/5) x)) |
(/ 1/5 x) |
(+ (* -1/25 (/ eps (pow x 2))) (* 1/5 (/ 1 x))) |
(+ (* eps (- (* 1/125 (/ eps (pow x 3))) (* 1/25 (/ 1 (pow x 2))))) (* 1/5 (/ 1 x))) |
(+ (* eps (- (* eps (+ (* -1/625 (/ eps (pow x 4))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2))))) (* 1/5 (/ 1 x))) |
(/ 1 eps) |
(/ (+ 1 (* -5 (/ x eps))) eps) |
(/ (- (+ 1 (* 25 (/ (pow x 2) (pow eps 2)))) (* 5 (/ x eps))) eps) |
(/ (- (+ 1 (* -125 (/ (pow x 3) (pow eps 3)))) (+ (* -25 (/ (pow x 2) (pow eps 2))) (* 5 (/ x eps)))) eps) |
(/ 1 eps) |
(* -1 (/ (- (* 5 (/ x eps)) 1) eps)) |
(* -1 (/ (- (* -1 (/ (- (* 25 (/ (pow x 2) eps)) (* 5 x)) eps)) 1) eps)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 125 (/ (pow x 3) eps)) (* 25 (pow x 2))) eps)) (* 5 x)) eps)) 1) eps)) |
(/ 1/25 (pow x 2)) |
(+ (* 1/125 (/ eps (pow x 3))) (* 1/25 (/ 1 (pow x 2)))) |
(+ (* eps (+ (* -1/3125 (/ (pow eps 2) (pow x 5))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2)))) |
(+ (* eps (+ (* (pow eps 2) (- (* -1/15625 (/ eps (pow x 6))) (* 1/3125 (/ 1 (pow x 5))))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2)))) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (* 5 (/ x eps))) (pow eps 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -25 (pow x 2)) (* 25 (pow x 2))) (pow eps 2)))) (* -5 (/ x eps))) (pow eps 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* 5 (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2))))) (* 125 (pow x 3))) (pow eps 3)))) (+ (* -25 (/ (pow x 2) (pow eps 2))) (+ (* -5 (/ x eps)) (* 25 (/ (pow x 2) (pow eps 2)))))) (pow eps 2)) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (* 5 (/ x eps))) (pow eps 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -25 (/ (pow x 2) eps)) (* 25 (/ (pow x 2) eps))) (* 5 x)) eps))) (pow eps 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -125 (/ (pow x 3) eps)) (* -5 (/ (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps))) (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps)) (* 5 x)) eps))) (pow eps 2)) |
(/ 1 (pow eps 2)) |
(+ (* 5 (/ x (pow eps 3))) (/ 1 (pow eps 2))) |
(+ (* x (+ (* -125 (/ (pow x 2) (pow eps 5))) (* 5 (/ 1 (pow eps 3))))) (/ 1 (pow eps 2))) |
(+ (* x (+ (* (pow x 2) (- (* -625 (/ x (pow eps 6))) (* 125 (/ 1 (pow eps 5))))) (* 5 (/ 1 (pow eps 3))))) (/ 1 (pow eps 2))) |
(/ 1/25 (pow x 2)) |
(/ (+ 1/25 (* 1/125 (/ eps x))) (pow x 2)) |
(/ (- (+ 1/25 (* -1 (/ (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2))) (pow x 2)))) (* -1/125 (/ eps x))) (pow x 2)) |
(/ (- (+ 1/25 (* -1 (/ (+ (* 1/3125 (pow eps 3)) (* 1/5 (* eps (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2)))))) (pow x 3)))) (+ (* -1/125 (/ eps x)) (+ (* -1/625 (/ (pow eps 2) (pow x 2))) (* 1/625 (/ (pow eps 2) (pow x 2)))))) (pow x 2)) |
(/ 1/25 (pow x 2)) |
(/ (+ 1/25 (* 1/125 (/ eps x))) (pow x 2)) |
(/ (+ 1/25 (* -1 (/ (- (+ (* -1/625 (/ (pow eps 2) x)) (* 1/625 (/ (pow eps 2) x))) (* 1/125 eps)) x))) (pow x 2)) |
(/ (+ 1/25 (* -1 (/ (- (* -1 (/ (- (+ (* -1/5 (/ (* eps (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2)))) x)) (* -1/3125 (/ (pow eps 3) x))) (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2)))) x)) (* 1/125 eps)) x))) (pow x 2)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 125 (pow x 3)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
(* 25 (pow x 2)) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* 5 (* (pow eps 4) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
eps |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (/ eps x))) |
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* x (+ 5 (/ eps x))) |
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* x (+ 5 (/ eps x))) |
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
eps |
(* eps (+ 1 (* 5 (/ x eps)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) eps) eps) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) eps) eps) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) eps) eps) |
eps |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) eps) eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) eps) eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) eps) eps) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x))))) |
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(+ (* 1/125 (/ eps (pow x 3))) (* 1/25 (/ 1 (pow x 2)))) |
(/.f64 (fma.f64 eps (/.f64 #s(literal 1/125 binary64) x) #s(literal 1/25 binary64)) (*.f64 x x)) |
(+ (* eps (+ (* -1/3125 (/ (pow eps 2) (pow x 5))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2)))) |
(fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3125 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 (fma.f64 eps (/.f64 #s(literal 1/125 binary64) x) #s(literal 1/25 binary64)) (*.f64 x x))) |
(+ (* eps (+ (* (pow eps 2) (- (* -1/15625 (/ eps (pow x 6))) (* 1/3125 (/ 1 (pow x 5))))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal -1/15625 binary64) (/.f64 eps (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/3125 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (fma.f64 eps (/.f64 #s(literal 1/125 binary64) x) #s(literal 1/25 binary64)) (*.f64 x x))) |
(/ 1 (pow eps 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 eps eps)) |
(/ (+ 1 (* 5 (/ x eps))) (pow eps 2)) |
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps)) |
(/ (- (+ 1 (* -1 (/ (+ (* -25 (pow x 2)) (* 25 (pow x 2))) (pow eps 2)))) (* -5 (/ x eps))) (pow eps 2)) |
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps)) |
(/ (- (+ 1 (* -1 (/ (+ (* 5 (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2))))) (* 125 (pow x 3))) (pow eps 3)))) (+ (* -25 (/ (pow x 2) (pow eps 2))) (+ (* -5 (/ x eps)) (* 25 (/ (pow x 2) (pow eps 2)))))) (pow eps 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 125 binary64)) #s(literal 0 binary64)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 25 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal -25 binary64) eps) (*.f64 #s(literal 5 binary64) x)) eps))) (*.f64 eps eps)) |
(/ 1 (pow eps 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 eps eps)) |
(/ (+ 1 (* 5 (/ x eps))) (pow eps 2)) |
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps)) |
(/ (+ 1 (* -1 (/ (- (+ (* -25 (/ (pow x 2) eps)) (* 25 (/ (pow x 2) eps))) (* 5 x)) eps))) (pow eps 2)) |
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -125 (/ (pow x 3) eps)) (* -5 (/ (* x (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps))) (+ (* -25 (pow x 2)) (* 25 (pow x 2)))) eps)) (* 5 x)) eps))) (pow eps 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125 binary64)) eps) eps) (*.f64 #s(literal 5 binary64) x)) eps)) (*.f64 eps eps)) |
(/ 1 (pow eps 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 eps eps)) |
(+ (* 5 (/ x (pow eps 3))) (/ 1 (pow eps 2))) |
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps)) |
(+ (* x (+ (* -125 (/ (pow x 2) (pow eps 5))) (* 5 (/ 1 (pow eps 3))))) (/ 1 (pow eps 2))) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -125 binary64)) (pow.f64 eps #s(literal 5 binary64))) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps))) |
(+ (* x (+ (* (pow x 2) (- (* -625 (/ x (pow eps 6))) (* 125 (/ 1 (pow eps 5))))) (* 5 (/ 1 (pow eps 3))))) (/ 1 (pow eps 2))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal -625 binary64) (/.f64 x (pow.f64 eps #s(literal 6 binary64))) (/.f64 #s(literal -125 binary64) (pow.f64 eps #s(literal 5 binary64))))) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps))) |
(/ 1/25 (pow x 2)) |
(/.f64 #s(literal 1/25 binary64) (*.f64 x x)) |
(/ (+ 1/25 (* 1/125 (/ eps x))) (pow x 2)) |
(/.f64 (fma.f64 eps (/.f64 #s(literal 1/125 binary64) x) #s(literal 1/25 binary64)) (*.f64 x x)) |
(/ (- (+ 1/25 (* -1 (/ (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2))) (pow x 2)))) (* -1/125 (/ eps x))) (pow x 2)) |
(/.f64 (fma.f64 eps (/.f64 #s(literal 1/125 binary64) x) #s(literal 1/25 binary64)) (*.f64 x x)) |
(/ (- (+ 1/25 (* -1 (/ (+ (* 1/3125 (pow eps 3)) (* 1/5 (* eps (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2)))))) (pow x 3)))) (+ (* -1/125 (/ eps x)) (+ (* -1/625 (/ (pow eps 2) (pow x 2))) (* 1/625 (/ (pow eps 2) (pow x 2)))))) (pow x 2)) |
(/.f64 (fma.f64 eps (/.f64 #s(literal 1/125 binary64) x) (-.f64 #s(literal 1/25 binary64) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3125 binary64))) (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ 1/25 (pow x 2)) |
(/.f64 #s(literal 1/25 binary64) (*.f64 x x)) |
(/ (+ 1/25 (* 1/125 (/ eps x))) (pow x 2)) |
(/.f64 (fma.f64 eps (/.f64 #s(literal 1/125 binary64) x) #s(literal 1/25 binary64)) (*.f64 x x)) |
(/ (+ 1/25 (* -1 (/ (- (+ (* -1/625 (/ (pow eps 2) x)) (* 1/625 (/ (pow eps 2) x))) (* 1/125 eps)) x))) (pow x 2)) |
(/.f64 (fma.f64 eps (/.f64 #s(literal 1/125 binary64) x) #s(literal 1/25 binary64)) (*.f64 x x)) |
(/ (+ 1/25 (* -1 (/ (- (* -1 (/ (- (+ (* -1/5 (/ (* eps (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2)))) x)) (* -1/3125 (/ (pow eps 3) x))) (+ (* -1/625 (pow eps 2)) (* 1/625 (pow eps 2)))) x)) (* 1/125 eps)) x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/25 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3125 binary64) (*.f64 eps (/.f64 (*.f64 eps eps) x))) x) (*.f64 eps #s(literal 1/125 binary64))) x)) (*.f64 x x)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 125 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
(* 25 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 25 binary64))) |
Compiled 75 993 to 3 475 computations (95.4% saved)
31 alts after pruning (25 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 087 | 14 | 2 101 |
| Fresh | 5 | 11 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 095 | 31 | 2 126 |
| Status | Accuracy | Program |
|---|---|---|
| 8.1% | (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) #s(literal 5 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 11.4% | (fma.f64 (pow.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) | |
| ✓ | 40.3% | (fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
| 78.5% | (fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) | |
| ✓ | 83.3% | (pow.f64 eps #s(literal 5 binary64)) |
| 58.4% | (/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) | |
| 58.1% | (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (neg.f64 eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) | |
| 83.1% | (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps)) | |
| 83.1% | (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps))) | |
| 83.4% | (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) | |
| 83.2% | (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) | |
| 83.1% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) | |
| ✓ | 84.5% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 59.5% | (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps eps)) (*.f64 eps eps))) | |
| 83.4% | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) | |
| ✓ | 83.4% | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
| 62.7% | (*.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) | |
| 83.4% | (*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) | |
| 83.1% | (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) | |
| 83.4% | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) | |
| ✓ | 83.0% | (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
| 83.4% | (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 eps (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) | |
| 83.0% | (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) | |
| 83.0% | (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) | |
| 83.0% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) | |
| 83.1% | (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) | |
| 59.6% | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) | |
| 83.0% | (*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) | |
| 67.5% | (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) | |
| 83.0% | (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) | |
| ✓ | 67.4% | #s(literal 0 binary64) |
Compiled 1 481 to 554 computations (62.6% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 eps (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (neg.f64 eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps eps)) (*.f64 eps eps))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps)) |
(*.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) #s(literal 5 binary64)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (pow.f64 x #s(literal 5/4 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (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:
| 181.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 55.0ms | eps |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
| 98.3% | 3 | eps |
| 99.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 eps (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (neg.f64 eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps eps)) (*.f64 eps eps))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps)) |
(*.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
1 calls:
| 22.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 eps (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (neg.f64 eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps eps)) (*.f64 eps eps))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps)) |
(*.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 eps #s(literal -5 binary64)) x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(pow.f64 eps #s(literal 5 binary64)) |
1 calls:
| 43.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 eps (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (neg.f64 eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps eps)) (*.f64 eps eps))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps)) |
(*.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
| Outputs |
|---|
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(pow.f64 eps #s(literal 5 binary64)) |
1 calls:
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 eps (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (neg.f64 eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps eps)) (*.f64 eps eps))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps)) |
(*.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(pow.f64 eps #s(literal 5 binary64)) |
1 calls:
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 eps (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (neg.f64 eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps eps)) (*.f64 eps eps))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps)) |
(*.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(pow.f64 eps #s(literal 5 binary64)) |
1 calls:
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 eps (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (neg.f64 eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal -25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps)))) (*.f64 eps eps)) (*.f64 eps eps))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) (/.f64 #s(literal 1/5 binary64) eps))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 eps x) (fma.f64 #s(literal -8/5 binary64) (/.f64 eps x) #s(literal 4/5 binary64)) #s(literal -2/5 binary64)) x) #s(literal 1/5 binary64)) eps)) |
(*.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (*.f64 x #s(literal 25 binary64)) (*.f64 eps (fma.f64 x #s(literal -5 binary64) eps))))) |
| Outputs |
|---|
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
2 calls:
| 10.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
| 98.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 eps (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 eps (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
3 calls:
| 5.0ms | x |
| 4.0ms | eps |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 1 | x |
| 83.0% | 1 | eps |
| 83.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (*.f64 x eps))) |
| Outputs |
|---|
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
3 calls:
| 3.0ms | eps |
| 3.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 1 | x |
| 83.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.0% | 1 | eps |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
| Outputs |
|---|
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
3 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 2.0ms | x |
| 2.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 1 | x |
| 83.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 83.0% | 1 | eps |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 1 | x |
| 67.5% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 67.5% | 1 | eps |
Compiled 17 to 11 computations (35.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 1 | eps |
| 67.4% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 67.4% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4e-323 |
| 0.0ms | -6.339912084307e-312 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 68× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 661 |
| 1 | 123 | 661 |
| 2 | 149 | 661 |
| 3 | 167 | 661 |
| 4 | 179 | 661 |
| 5 | 183 | 661 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (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 -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (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 -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (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 -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) #s(literal -25 binary64))) eps)) eps)) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (*.f64 x #s(literal -5 binary64))) (*.f64 x (*.f64 x #s(literal 25 binary64))))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) x eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) x eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) x eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
#s(literal 0 binary64) |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 11 768× | lower-fma.f64 |
| 11 768× | lower-fma.f32 |
| 8 918× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 3515 |
| 1 | 1540 | 3345 |
| 2 | 5038 | 3245 |
| 0 | 8743 | 3082 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 0 | 26 | 135 |
| 0 | 47 | 125 |
| 1 | 156 | 119 |
| 2 | 937 | 111 |
| 0 | 8387 | 106 |
| 0 | 357 | 3684 |
| 1 | 1160 | 3441 |
| 2 | 3889 | 3022 |
| 3 | 6924 | 3022 |
| 0 | 8155 | 2870 |
| 0 | 33 | 210 |
| 0 | 60 | 154 |
| 1 | 184 | 136 |
| 2 | 1267 | 136 |
| 0 | 9007 | 132 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 278 to 488 computations (61.8% saved)
Compiled 1 348 to 180 computations (86.6% saved)
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