
Time bar (total: 3.0s)
| 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)
| 520.0ms | 6 623× | 0 | valid |
| 313.0ms | 1 272× | 1 | valid |
| 79.0ms | 361× | 2 | valid |
ival-pow: 354.0ms (56.4% of total)adjust: 205.0ms (32.6% of total)ival-sub!: 36.0ms (5.7% of total)ival-add!: 33.0ms (5.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 58 |
| 1 | 48 | 56 |
| 2 | 88 | 56 |
| 3 | 146 | 56 |
| 4 | 169 | 56 |
| 1× | saturated |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.1% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 18 to 14 computations (22.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 1374 |
| 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 |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ x eps) eps) |
#s(approx (+ x eps) (+.f64 eps x)) |
#s(approx x x) |
#s(approx (pow x 5) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (+.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 eps x) (/.f64 eps x))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 eps x) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 eps x))))))) |
#s(approx (pow (+ x eps) 5) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 eps x) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 eps x) (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))))))))))) |
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64)))) x) (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) x)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (pow (+ x eps) 5) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 4 binary64) eps)) x)) #s(literal 1 binary64))))) |
#s(approx (pow (+ x eps) 5) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x) (*.f64 #s(literal 4 binary64) eps))) x)) #s(literal 1 binary64))))) |
#s(approx (pow (+ x eps) 5) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x) (*.f64 #s(literal 4 binary64) eps))) x)) #s(literal 1 binary64))))) |
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (pow (+ x eps) 5) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (pow (+ x eps) 5) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (/.f64 x eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))))))))) |
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) eps)) #s(literal 1 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)))) eps) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))) |
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 12.0ms | eps | -inf |
| 2.0ms | x | inf |
| 2.0ms | x | -inf |
| 1.0ms | eps | 0 |
| 1.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 63 | 23 |
| 0 | 546 | 23 |
| 1× | iter-limit |
| 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) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (neg.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))))) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(*.f64 (neg.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))))) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (expm1.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (-.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) |
(neg.f64 (-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) |
(fma.f64 (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) (/.f64 (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(+.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #s(literal 5 binary64)) |
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(fabs.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 5 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x) |
(*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(*.f64 x (+.f64 (/.f64 eps x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(neg.f64 (-.f64 (neg.f64 eps) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(-.f64 eps (neg.f64 x)) |
(-.f64 x (neg.f64 eps)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(+.f64 eps x) |
(+.f64 x (neg.f64 (neg.f64 eps))) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 5 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(fabs.f64 (pow.f64 x #s(literal 5 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))) |
Compiled 2 722 to 507 computations (81.4% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 7 | 107 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 100 | 8 | 108 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.1% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 88.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 35.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (+.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))) | |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) | |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))))) |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 523 to 279 computations (46.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 368 | 2681 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(+.f64 eps (*.f64 #s(literal 4 binary64) eps)) |
(*.f64 #s(literal 4 binary64) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
(+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) |
#s(literal 2 binary64) |
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x) |
(pow.f64 eps #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) |
#s(literal 8 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (pow x 4) (+ eps (* 4 eps))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64))) |
#s(approx x x) |
#s(approx (* eps (+ (* 4 (pow x 4)) (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (+ (* 4 (pow x 4)) (pow x 4)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 #s(literal 4 binary64) eps))))))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 #s(literal 4 binary64) eps))))) x)) |
#s(approx (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 eps x) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) |
#s(approx (/ (pow eps 2) x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) |
#s(approx (+ (* 4 eps) (* 8 (/ (pow eps 2) x))) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
#s(approx (+ (* 4 eps) (* 8 (/ (pow eps 2) x))) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 eps x) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 eps x) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 #s(literal 10 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))) |
#s(approx (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
#s(approx (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (* 4 (pow x 2)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (+.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (+.f64 eps (*.f64 #s(literal 4 binary64) eps))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))) (*.f64 #s(literal 4 binary64) eps)) |
#s(approx (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
#s(approx (+ (* 4 eps) (* 8 (/ (pow eps 2) x))) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
#s(approx (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64)))) x) (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) x)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (* (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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x) (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x) (*.f64 #s(literal 4 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx eps eps) |
#s(approx (+ eps (* 4 eps)) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (*.f64 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
#s(approx (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))) (*.f64 eps (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64))) |
#s(approx (+ (* 4 eps) (* 8 (/ (pow eps 2) x))) (*.f64 eps (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 eps x))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (/.f64 x eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))))))))) |
#s(approx (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 #s(literal 10 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 10 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 10 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* 4 eps) (* 8 (/ (pow eps 2) x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)))))) |
#s(approx (+ (* 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 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (+ (* 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 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)))))) |
#s(approx (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) eps)) #s(literal 1 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)))) eps) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) eps)))))) |
#s(approx (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 11.0ms | eps | 0 |
| 5.0ms | eps | -inf |
| 5.0ms | eps | inf |
| 5.0ms | x | inf |
| 5.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 384 |
| 0 | 67 | 334 |
| 1 | 375 | 316 |
| 2 | 4406 | 316 |
| 0 | 8087 | 313 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(+.f64 eps (*.f64 #s(literal 4 binary64) eps)) |
(*.f64 #s(literal 4 binary64) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
(+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) |
#s(literal 2 binary64) |
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x) |
(pow.f64 eps #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
(*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) |
#s(literal 8 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
(*.f64 (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 eps #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 eps #s(literal 5/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 5/2 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 5/2 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 eps) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 5 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps) |
(*.f64 (fabs.f64 (pow.f64 eps #s(literal 5/2 binary64))) (fabs.f64 (pow.f64 eps #s(literal 5/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5/2 binary64))) (neg.f64 (pow.f64 eps #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 5 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(pow.f64 eps #s(literal 5 binary64)) |
(/.f64 (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (pow.f64 eps #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 eps))) #s(literal 5 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64)))) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 eps (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (/.f64 eps eps) #s(literal 1 binary64))) eps) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 eps eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(*.f64 eps (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 64 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (-.f64 eps (*.f64 #s(literal 4 binary64) eps)))) (-.f64 eps (*.f64 #s(literal 4 binary64) eps))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (*.f64 #s(literal 4 binary64) eps) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 8 binary64))) eps) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3 binary64)))) eps) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (-.f64 eps (*.f64 #s(literal 4 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 eps (*.f64 #s(literal 4 binary64) eps))) |
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) eps) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) (*.f64 eps eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps))) (-.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) eps) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps)) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) #s(literal 4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) eps)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 4 binary64) eps) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) eps)) |
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
(fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
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#s(literal 2 binary64) |
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(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps eps)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) x)) |
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(*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 eps (/.f64 eps x)) |
(pow.f64 (/.f64 x (*.f64 eps eps)) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps eps))) |
(/.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 x)) |
(/.f64 (*.f64 eps eps) x) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 eps eps)))) |
(neg.f64 (/.f64 (*.f64 eps eps) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 eps) eps) x)) |
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(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 1 binary64))) |
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(*.f64 (fabs.f64 eps) (fabs.f64 eps)) |
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(*.f64 (neg.f64 eps) (neg.f64 eps)) |
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(*.f64 eps eps) |
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(fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 x (+.f64 x x))) |
(fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 x (+.f64 x x))) |
(fma.f64 x (+.f64 x x) (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)))) |
(fma.f64 x (+.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) |
(fma.f64 x x (fma.f64 x x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(fma.f64 x x (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(-.f64 (*.f64 x (+.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 x x))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (neg.f64 (*.f64 x (+.f64 x x)))) |
(+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 x x)) (*.f64 x x)) |
(+.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x))))) |
(+.f64 (*.f64 x (+.f64 x x)) (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (+.f64 x x)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))) |
(+.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(+.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 4 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 4 binary64))) |
Compiled 46 268 to 5 022 computations (89.1% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 990 | 9 | 999 |
| Fresh | 0 | 2 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 994 | 13 | 1 007 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.1% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 88.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 35.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (+.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) | |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) | |
| ▶ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps)) |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) | |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))))) |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* 4 (pow x 4)) (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))) |
Compiled 796 to 457 computations (42.6% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 328 | 1870 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 #s(literal 5 binary64) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 eps (*.f64 #s(literal 4 binary64) eps))) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(+.f64 eps (*.f64 #s(literal 4 binary64) eps)) |
(*.f64 #s(literal 4 binary64) eps) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))))) |
(*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* 5 (* (* eps (* x x)) (* x x))) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (* eps (* x x)) (* x x)) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* eps (* x x)) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (* (* 5 (* x x)) (* x x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* 5 (* x x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (* (* (* x x) x) x) (+ eps (* 4 eps))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (* (* (* x x) x) x) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 eps x) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 #s(literal 10 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 #s(literal 10 binary64) eps)) |
#s(approx (+ (* 5 x) (* 10 eps)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (+.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 #s(literal 5 binary64) x)) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 x (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64)))) x) (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) x)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -10 binary64) (/.f64 eps x)) #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (* (* eps eps) (* eps eps)) (pow.f64 eps #s(literal 4 binary64))) |
#s(approx (* eps eps) (pow.f64 eps #s(literal 2 binary64))) |
#s(approx eps eps) |
#s(approx (+ eps (* 4 eps)) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (* 4 eps) (*.f64 #s(literal 4 binary64) eps)) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (pow x 3) (+ (* 5 x) (* 10 eps))) (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (/.f64 x eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))))))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)))))) |
#s(approx (+ (* 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 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (+ (* 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 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)))))) |
#s(approx (* (pow x 3) (+ (* 5 x) (* 10 eps))) (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 eps (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) eps)) #s(literal 1 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)))) eps) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) eps)))))) |
#s(approx (* (pow x 3) (+ (* 5 x) (* 10 eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)))))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 10 binary64))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 10.0ms | eps | 0 |
| 5.0ms | eps | -inf |
| 4.0ms | eps | inf |
| 4.0ms | x | -inf |
| 3.0ms | x | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 357 |
| 0 | 71 | 289 |
| 1 | 353 | 277 |
| 0 | 3451 | 268 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x))) |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)) |
(*.f64 eps (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 #s(literal 5 binary64) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 eps (*.f64 #s(literal 4 binary64) eps))) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(+.f64 eps (*.f64 #s(literal 4 binary64) eps)) |
(*.f64 #s(literal 4 binary64) eps) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))))) |
(*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 eps eps))) |
(*.f64 (*.f64 eps (*.f64 (neg.f64 eps) eps)) (*.f64 (neg.f64 eps) eps)) |
(*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 eps eps)) |
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (*.f64 (neg.f64 eps) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) |
(*.f64 (*.f64 (*.f64 eps eps) (fabs.f64 eps)) (fabs.f64 eps)) |
(*.f64 (*.f64 (*.f64 eps eps) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (*.f64 (fabs.f64 eps) (neg.f64 eps)) (*.f64 (fabs.f64 eps) (neg.f64 eps))) |
(*.f64 (*.f64 (fabs.f64 eps) eps) (*.f64 (fabs.f64 eps) eps)) |
(*.f64 (*.f64 (neg.f64 eps) (fabs.f64 eps)) (*.f64 (neg.f64 eps) (fabs.f64 eps))) |
(*.f64 (*.f64 eps (fabs.f64 eps)) (*.f64 eps (fabs.f64 eps))) |
(*.f64 (pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 eps eps) eps) eps) |
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (*.f64 eps eps))) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 eps eps))) |
(*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps)) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps (*.f64 (*.f64 eps eps) eps)) |
(pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
(neg.f64 (*.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) eps))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps))) |
(fabs.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps))) |
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps))) |
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps))) |
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64))) |
(*.f64 (pow.f64 eps #s(literal 1 binary64)) eps) |
(*.f64 (fabs.f64 eps) (fabs.f64 eps)) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 eps eps) |
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 eps) eps)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) |
(fabs.f64 (*.f64 (neg.f64 eps) eps)) |
(fabs.f64 (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) x)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 eps x)) x) |
(*.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) x)) x) |
(*.f64 (*.f64 eps (*.f64 (*.f64 x x) #s(literal 5 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) eps) x)) x) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 #s(literal 4 binary64) (/.f64 eps eps) #s(literal 1 binary64))) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) eps) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) (*.f64 x x)) |
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x |
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(-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal -10 binary64) eps)) |
(-.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal -5 binary64) x)) |
(-.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 (neg.f64 x) #s(literal 5 binary64))) |
(-.f64 (*.f64 #s(literal 10 binary64) eps) (neg.f64 (*.f64 #s(literal 5 binary64) x))) |
(+.f64 (/.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (-.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (*.f64 #s(literal 10 binary64) eps) (-.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))))) |
(+.f64 (*.f64 #s(literal 5 binary64) x) (neg.f64 (*.f64 #s(literal -10 binary64) eps))) |
(+.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 #s(literal 10 binary64) eps)) |
(+.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 #s(literal 10 binary64) eps) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
Compiled 16 592 to 1 988 computations (88% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 453 | 7 | 460 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 459 | 14 | 473 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.1% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 88.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 35.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (+.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))) | |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps)) |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) x) (*.f64 eps x))) | |
| ▶ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
| ✓ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
| ▶ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) (*.f64 x x))) eps)) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* 5 (* x x)) (* x x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) | |
| ▶ | 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x))))) |
| ✓ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
Compiled 860 to 495 computations (42.4% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 2477 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) |
(*.f64 (*.f64 (*.f64 eps eps) eps) eps) |
(*.f64 (*.f64 eps eps) eps) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x))))) |
(*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
(*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) |
(+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))) |
(*.f64 #s(literal 10 binary64) (/.f64 eps x)) |
(/.f64 eps x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (* (* x x) (* x (* (* 5 x) eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (* x (* (* 5 x) eps)) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* (* 5 x) eps) (*.f64 #s(literal 5 binary64) (*.f64 eps x))) |
#s(approx (* 5 x) (*.f64 #s(literal 5 binary64) x)) |
#s(approx (* (* (* (* x x) x) 5) x) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (* (* x x) x) 5) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 eps x) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 #s(literal 10 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 #s(literal 10 binary64) eps)) |
#s(approx (+ (* 5 x) (* 10 eps)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))) |
#s(approx (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 #s(literal 4 binary64) eps))))))) |
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 eps (*.f64 #s(literal 4 binary64) eps))))) x)) |
#s(approx (* eps (+ 5 (* 10 (/ eps x)))) (*.f64 #s(literal 10 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
#s(approx (* eps (+ 5 (* 10 (/ eps x)))) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 eps x) (*.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) |
#s(approx (+ 5 (* 10 (/ eps x))) (*.f64 #s(literal 10 binary64) (/.f64 eps x))) |
#s(approx (+ 5 (* 10 (/ eps x))) (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) |
#s(approx (/ eps x) (/.f64 eps x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (+.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 x (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (+.f64 eps (*.f64 #s(literal 4 binary64) eps))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (* eps (+ 5 (* 10 (/ eps x)))) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (* eps (+ 5 (* 10 (/ eps x)))) (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) |
#s(approx (+ 5 (* 10 (/ eps x))) #s(literal 5 binary64)) |
#s(approx (+ 5 (* 10 (/ eps x))) (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64)))) x) (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))))) x)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -10 binary64) (/.f64 eps x)) #s(literal 5 binary64))))) |
#s(approx (* (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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x) (*.f64 #s(literal 4 binary64) eps))))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (+.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x) (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (* (* (* eps eps) eps) eps) (pow.f64 eps #s(literal 4 binary64))) |
#s(approx (* (* eps eps) eps) (pow.f64 eps #s(literal 3 binary64))) |
#s(approx (* eps eps) (pow.f64 eps #s(literal 2 binary64))) |
#s(approx eps eps) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (* (+ (* 5 x) (* 10 eps)) (* (* x x) x)) (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64)))))) |
#s(approx (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (*.f64 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (/.f64 x eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 x eps) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (/.f64 x eps) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64))))))))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)))))) |
#s(approx (+ (* 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 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (+ (* 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 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)))))) |
#s(approx (* (+ (* 5 x) (* 10 eps)) (* (* x x) x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 eps (+.f64 #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x eps))))) |
#s(approx (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 10 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ 5 (* 10 (/ eps x))) (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 10 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) x)) eps)) #s(literal 1 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps)))) eps) (*.f64 #s(literal 4 binary64) x))) eps)) #s(literal 1 binary64))))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) eps)))))) |
#s(approx (* (+ (* 5 x) (* 10 eps)) (* (* x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps)))))) |
#s(approx (+ (* 5 x) (* 10 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 10 binary64))))) |
#s(approx (+ 5 (* 10 (/ eps x))) (*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) eps))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 13.0ms | eps | -inf |
| 7.0ms | eps | 0 |
| 6.0ms | eps | inf |
| 5.0ms | x | -inf |
| 4.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 456 |
| 0 | 87 | 408 |
| 1 | 432 | 382 |
| 2 | 4642 | 382 |
| 0 | 8439 | 362 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) |
(*.f64 (*.f64 (*.f64 eps eps) eps) eps) |
(*.f64 (*.f64 eps eps) eps) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(*.f64 x x) |
x |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x))))) |
(*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
(*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) |
(+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))) |
(*.f64 #s(literal 10 binary64) (/.f64 eps x)) |
(/.f64 eps x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
(*.f64 (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (fabs.f64 eps)) (fabs.f64 eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps) |
(*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) eps)) |
(*.f64 eps (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) |
(pow.f64 eps #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 2 binary64)) (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) (fabs.f64 eps)) (fabs.f64 eps)) |
(*.f64 (*.f64 (*.f64 eps eps) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (*.f64 (fabs.f64 eps) (neg.f64 eps)) (*.f64 (fabs.f64 eps) (neg.f64 eps))) |
(*.f64 (*.f64 (fabs.f64 eps) eps) (*.f64 (fabs.f64 eps) eps)) |
(*.f64 (*.f64 (neg.f64 eps) (fabs.f64 eps)) (*.f64 (neg.f64 eps) (fabs.f64 eps))) |
(*.f64 (*.f64 eps (fabs.f64 eps)) (*.f64 eps (fabs.f64 eps))) |
(*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps)) |
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (*.f64 eps eps))) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 eps eps))) |
(*.f64 (*.f64 (*.f64 eps eps) eps) eps) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps (*.f64 (*.f64 eps eps) eps)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
(/.f64 (*.f64 eps eps) (pow.f64 (*.f64 eps eps) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) (sinh.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 eps (fabs.f64 eps)) (fabs.f64 eps)) |
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 eps)) |
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) eps)) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) eps)) |
(*.f64 (*.f64 eps eps) eps) |
(*.f64 eps (*.f64 eps eps)) |
(pow.f64 eps #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (fabs.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps))) |
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps))) |
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps))) |
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps))) |
(*.f64 (fabs.f64 eps) (fabs.f64 eps)) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(*.f64 eps eps) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(/.f64 (pow.f64 (exp.f64 (log.f64 eps)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 eps)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(/.f64 eps (pow.f64 eps #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 eps) eps)) |
(fabs.f64 (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 eps))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64))) x) |
(*.f64 (*.f64 eps (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 eps (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) eps) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(*.f64 (*.f64 eps x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) (*.f64 eps x)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 eps x))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x)) |
(*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) eps)) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) |
(*.f64 (*.f64 eps x) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 eps x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps x) x)) |
(*.f64 eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) x) |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(*.f64 #s(literal 5 binary64) (*.f64 eps x)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) x) |
(*.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64))) x) |
(*.f64 (*.f64 eps (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) eps) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 eps (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) eps) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) x) eps))) |
(*.f64 (*.f64 eps x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) (*.f64 eps x)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 eps x))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x)) |
(*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) eps)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 5 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (*.f64 x x) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x))) eps)) |
(*.f64 #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x))) eps) |
(*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)))) |
#s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) x) |
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(fma.f64 eps #s(literal 5 binary64) (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps)) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (neg.f64 eps) (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 #s(literal -10 binary64) (/.f64 eps x)) eps)) |
(-.f64 (*.f64 #s(literal 5 binary64) eps) (neg.f64 (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps))) |
(+.f64 (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps) (*.f64 #s(literal 5 binary64) eps)) |
(+.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) (*.f64 (/.f64 eps x) #s(literal 10 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (/.f64 eps x)) #s(literal 5 binary64))) #s(literal 5 binary64)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 5 binary64)) |
(*.f64 (-.f64 #s(literal 25 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))) |
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x)) #s(literal 125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) #s(literal 25 binary64)))) |
(*.f64 #s(literal 5 binary64) (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 25 binary64)) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64))) |
(/.f64 (-.f64 #s(literal 125 binary64) (*.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1000 binary64))) (+.f64 #s(literal 25 binary64) (fma.f64 #s(literal 100 binary64) (*.f64 (/.f64 eps x) (/.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) (/.f64 eps x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 25 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x)) #s(literal 125 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) #s(literal 25 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))) (-.f64 #s(literal 25 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) #s(literal 25 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x)) #s(literal 125 binary64)))) |
(/.f64 (-.f64 #s(literal 25 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 x x))) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x)) #s(literal 125 binary64)) (fma.f64 #s(literal 100 binary64) (*.f64 (/.f64 eps x) (/.f64 eps x)) (-.f64 #s(literal 25 binary64) (*.f64 #s(literal 50 binary64) (/.f64 eps x))))) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x)) #s(literal 125 binary64)) (fma.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) #s(literal 25 binary64))) |
(/.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) |
(neg.f64 (-.f64 (*.f64 #s(literal -10 binary64) (/.f64 eps x)) #s(literal 5 binary64))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 1 binary64) x) #s(literal 5 binary64)) |
(fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)) |
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 10 binary64)) #s(literal 5 binary64)) |
(fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) |
(-.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 eps eps)) (*.f64 x x)) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))) |
(-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal -5 binary64)) |
(-.f64 #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) (/.f64 eps x))) |
(+.f64 (/.f64 #s(literal 125 binary64) (fma.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) #s(literal 25 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) #s(literal 25 binary64)))) |
(+.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) |
(+.f64 #s(literal 5 binary64) (neg.f64 (*.f64 #s(literal -10 binary64) (/.f64 eps x)))) |
(+.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))) |
(*.f64 (/.f64 eps x) #s(literal 10 binary64)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 10 binary64) (/.f64 eps x)) |
(*.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 10 binary64))) |
(*.f64 eps (/.f64 #s(literal 10 binary64) x)) |
(/.f64 (*.f64 #s(literal -10 binary64) eps) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 10 binary64) eps))) |
(/.f64 (*.f64 #s(literal 10 binary64) eps) x) |
(/.f64 #s(literal 10 binary64) (/.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) eps) |
(*.f64 #s(literal 1 binary64) (/.f64 eps x)) |
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 eps (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 x eps) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x eps) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x eps)) |
(/.f64 (neg.f64 eps) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))) |
(/.f64 eps x) |
(neg.f64 (/.f64 eps (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 eps) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x eps)) #s(literal -1 binary64))) |
Compiled 23 260 to 2 735 computations (88.2% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 3 | 549 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 551 | 12 | 563 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.1% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 88.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 35.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (+.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))) | |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) x) eps)) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) x) (*.f64 eps x))) | |
| ✓ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
| ✓ | 88.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x))) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) | |
| ✓ | 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x))))) |
| ✓ | 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
Compiled 412 to 236 computations (42.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) x) (*.f64 eps x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) x) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) x) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) x) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* 4 (pow x 4)) (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* 5 (* x x)) (* x x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) x) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* 4 (pow x 4)) (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (* 5 (* x x)) (* x x)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal 4 binary64) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))) (*.f64 eps (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (+.f64 x (*.f64 #s(literal 4 binary64) x))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (+.f64 (/.f64 (*.f64 eps (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))))))))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) x) eps)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
15 calls:
| 9.0ms | x |
| 7.0ms | eps |
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 88.6% | 1 | x |
| 88.6% | 1 | eps |
| 88.6% | 1 | eps |
| 88.6% | 1 | x |
| 88.6% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 98.8% | 3 | x |
| 99.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.2% | 3 | x |
| 98.2% | 3 | eps |
Compiled 941 to 261 computations (72.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.4e-323 |
| 0.0ms | -3.3e-322 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.4e-323 | 1.73518120014938e-309 |
| 0.0ms | -3.3e-322 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.4e-323 | 1.73518120014938e-309 |
| 0.0ms | -3.3e-322 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.4e-323 | 1.73518120014938e-309 |
| 0.0ms | -3.3e-322 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.4e-323 | 1.73518120014938e-309 |
| 0.0ms | -3.3e-322 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.4e-323 | 1.73518120014938e-309 |
| 0.0ms | -3.3e-322 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 1× | fuel |
Compiled 504 to 60 computations (88.1% saved)
Compiled 513 to 67 computations (86.9% saved)
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