
Time bar (total: 3.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.7% | 74.3% | 0% | 0% | 0% | 0 |
| 100% | 25.7% | 0% | 74.3% | 0% | 0% | 0% | 1 |
Compiled 25 to 18 computations (28% saved)
| 497.0ms | 2 566× | 1 | valid |
| 353.0ms | 5 064× | 0 | valid |
| 161.0ms | 626× | 2 | valid |
ival-pow2: 492.0ms (74.9% of total)adjust: 75.0ms (11.4% of total)ival-add!: 58.0ms (8.8% of total)ival-sub!: 32.0ms (4.9% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 62 |
| 1 | 74 | 54 |
| 2 | 338 | 54 |
| 3 | 1663 | 42 |
| 4 | 5776 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.0% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 16 to 14 computations (12.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 365 |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (pow (+ x eps) 2) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (+ x eps) eps) |
#s(approx (+ x eps) (+.f64 eps x)) |
#s(approx x x) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) |
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x))))) |
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x))))) |
#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) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (pow (+ x eps) 2) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (pow (+ x eps) 2) (fma.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))) |
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))) |
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) |
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))))) |
#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 | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2)) |
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2)) |
| 1.0ms | x | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2)) |
| 1.0ms | eps | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 69 | 23 |
| 2 | 248 | 23 |
| 3 | 1181 | 23 |
| 4 | 5105 | 23 |
| 0 | 9311 | 21 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (neg.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x))) (-.f64 (fabs.f64 x) (fabs.f64 (+.f64 eps x)))) |
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 x))) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 (fabs.f64 x)))) |
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x)) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x))) |
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x)) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x))) |
(*.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) x) (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) x) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)))) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) eps) (fma.f64 eps x #s(literal 0 binary64)))) (fma.f64 eps x #s(literal 0 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))) (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)) (*.f64 (-.f64 eps x) (+.f64 eps x)))) (*.f64 (-.f64 eps x) (+.f64 eps x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 (+.f64 eps x) x))) (*.f64 (+.f64 eps x) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)) (*.f64 eps eps))) (*.f64 eps eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 eps eps)) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)))) (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 x) eps) (+.f64 eps x)) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 eps x) #s(literal 0 binary64)) (*.f64 eps eps))) (*.f64 eps eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (*.f64 x x)) (*.f64 x x))) (*.f64 x x)) |
(*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x))) |
(*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) (-.f64 (fabs.f64 (+.f64 eps x)) x)) |
(*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) (+.f64 (fabs.f64 (+.f64 eps x)) x)) |
(*.f64 (-.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)) (-.f64 (-.f64 (fabs.f64 x) x) eps)) |
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 #s(literal 0 binary64) eps)) |
(*.f64 (+.f64 x (-.f64 eps (fabs.f64 x))) (+.f64 (+.f64 (fabs.f64 x) x) eps)) |
(*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x))) |
(*.f64 (+.f64 (+.f64 (fabs.f64 x) x) eps) (+.f64 x (-.f64 eps (fabs.f64 x)))) |
(*.f64 (-.f64 (-.f64 (fabs.f64 x) x) eps) (-.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x))) |
(*.f64 (-.f64 (neg.f64 x) (fabs.f64 (+.f64 eps x))) (-.f64 x (fabs.f64 (+.f64 eps x)))) |
(*.f64 (-.f64 x (fabs.f64 (+.f64 eps x))) (-.f64 (neg.f64 x) (fabs.f64 (+.f64 eps x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x)))) (*.f64 x (fma.f64 #s(literal 2 binary64) eps x))) |
(*.f64 (-.f64 eps #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 (*.f64 #s(literal -2 binary64) x) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 x x)) (+.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (+.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x x)) (*.f64 x x)) (*.f64 eps x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps eps)) (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (fma.f64 x (-.f64 eps #s(literal 0 binary64)) (*.f64 eps eps)) (*.f64 eps x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps x) eps)) (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps x) eps)) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps x) eps)) (*.f64 eps x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 eps x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 eps x) x)) (fma.f64 (-.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 eps x) x)) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (fma.f64 (-.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 eps x) x)) (*.f64 eps x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (fma.f64 eps eps (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) x (fma.f64 eps eps (*.f64 x x))) (fma.f64 (neg.f64 x) x (fma.f64 eps eps (*.f64 x x))) (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x)) (*.f64 (fma.f64 (neg.f64 x) x (fma.f64 eps eps (*.f64 x x))) (*.f64 (+.f64 eps eps) x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps eps) x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 eps eps (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps eps) x)) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps eps) x)) (-.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (fma.f64 eps eps (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps eps) x)) (fma.f64 eps eps (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (+.f64 eps eps)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (+.f64 eps eps)))) (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (+.f64 eps eps)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x (+.f64 eps eps)))) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps eps) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x)) (*.f64 (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) (*.f64 (+.f64 eps eps) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 x eps)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 x eps)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 x)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 x))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (-.f64 x eps)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) eps) (*.f64 (-.f64 eps #s(literal 0 binary64)) eps)) (*.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) (*.f64 (-.f64 eps #s(literal 0 binary64)) eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) eps) (*.f64 (-.f64 eps #s(literal 0 binary64)) eps) (-.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)) (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x))) (*.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) eps) (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps x)) (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps x)) (-.f64 (*.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) x) (*.f64 (-.f64 eps #s(literal 0 binary64)) x)) (*.f64 (*.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps x)) (*.f64 (-.f64 eps #s(literal 0 binary64)) x))))) |
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x) |
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 x x (*.f64 (neg.f64 x) eps)))) |
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 (neg.f64 x) eps)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x)))) |
(neg.f64 (-.f64 (neg.f64 x) eps)) |
(-.f64 eps (neg.f64 x)) |
(-.f64 x (neg.f64 eps)) |
(+.f64 eps x) |
(+.f64 x eps) |
x |
eps |
#s(literal 2 binary64) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x))))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x)) |
(*.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 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x)) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.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 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 x x) |
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.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 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x 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 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 4 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 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x))) |
(fabs.f64 (*.f64 (fabs.f64 x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) |
(fabs.f64 (*.f64 x (fabs.f64 x))) |
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 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 (log.f64 x) #s(literal 2 binary64))) |
Compiled 13 693 to 3 488 computations (74.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 439 | 3 | 1 442 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 440 | 3 | 1 443 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 eps eps (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
| ▶ | 62.6% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
Compiled 29 to 29 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 228 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 eps x)) |
#s(literal 2 binary64) |
(*.f64 eps x) |
eps |
x |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(fma.f64 eps eps (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))) |
(fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)) |
(+.f64 eps eps) |
#s(literal 0 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (* 2 (* eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
#s(approx (* eps x) (*.f64 eps x)) |
#s(approx x x) |
#s(approx (+ eps (* 2 x)) eps) |
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) |
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (+ eps eps) (*.f64 #s(literal 2 binary64) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))) |
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))) |
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | ((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0) |
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0) |
| 2.0ms | eps | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0) |
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0) |
| 1.0ms | eps | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (* 2 (* eps x)) 2 (* eps x) eps x (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (* 2 x) (+ (* eps eps) (+ (* (+ eps eps) x) 0)) (+ (* (+ eps eps) x) 0) (+ eps eps) 0) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 77 |
| 0 | 28 | 74 |
| 1 | 180 | 74 |
| 2 | 637 | 74 |
| 3 | 2853 | 74 |
| 0 | 8225 | 70 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 eps x)) |
#s(literal 2 binary64) |
(*.f64 eps x) |
eps |
x |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(fma.f64 eps eps (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))) |
(fma.f64 (+.f64 eps eps) x #s(literal 0 binary64)) |
(+.f64 eps eps) |
#s(literal 0 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 eps x)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) eps) (*.f64 eps x))) (*.f64 eps x)) |
(*.f64 (neg.f64 (neg.f64 x)) (+.f64 eps eps)) |
(*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps eps) x) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (*.f64 eps x))) (*.f64 eps x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x)) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps)) |
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x)) |
(*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) |
(*.f64 (+.f64 eps eps) (neg.f64 (neg.f64 x))) |
(*.f64 (+.f64 eps eps) x) |
(*.f64 (+.f64 x x) eps) |
(*.f64 (*.f64 eps x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 eps x)) |
(*.f64 eps (+.f64 x x)) |
(*.f64 x (+.f64 eps eps)) |
(/.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) (E.f64) (E.f64)) (E.f64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) (E.f64)) (E.f64)) (E.f64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 eps eps) x) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (-.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) eps) (*.f64 (neg.f64 (neg.f64 x)) eps))) (-.f64 (*.f64 eps x) (*.f64 (neg.f64 (neg.f64 x)) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (neg.f64 (*.f64 (neg.f64 x) eps)) (neg.f64 (*.f64 (neg.f64 x) eps)))) (-.f64 (*.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) eps)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 eps eps) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x)))) |
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(*.f64 eps #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)))) (-.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps))) (-.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 eps eps (*.f64 (neg.f64 eps) eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 eps (neg.f64 eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 eps eps)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) eps)) |
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 1 binary64) eps)) |
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps #s(literal 1 binary64))) |
(-.f64 eps (neg.f64 eps)) |
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) eps)) |
(+.f64 eps eps) |
#s(literal 0 binary64) |
Compiled 6 870 to 2 812 computations (59.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 841 | 5 | 846 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 0 | 0 |
| Total | 844 | 5 | 849 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ▶ | 62.6% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x))) |
| ▶ | 74.2% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
Compiled 110 to 110 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 273 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
(fma.f64 (+.f64 x x) eps (*.f64 eps eps)) |
(+.f64 x x) |
x |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
(*.f64 eps #s(approx (+ eps (* 2 x)) eps)) |
#s(approx (+ eps (* 2 x)) eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
(*.f64 (+.f64 x x) eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(fma.f64 #s(literal 2 binary64) x eps) |
#s(literal 2 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x))) |
(*.f64 eps (+.f64 (+.f64 eps x) x)) |
(+.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx x x) |
#s(approx (+ eps (* 2 x)) eps) |
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* (+ x x) eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) |
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))) |
#s(approx (+ eps x) (*.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) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))) |
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))) |
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) |
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))) |
#s(approx (+ eps x) (*.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 | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x)) |
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x)) |
| 1.0ms | x | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x)) |
| 1.0ms | eps | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ x x) eps) (* eps eps)) (+ x x) x eps (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ eps (* 2 x))) (+ eps (* 2 x)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 (- (pow (+ x eps) 2) (pow x 2)) (* eps (+ (+ eps x) x)) (+ (+ eps x) x) (+ eps x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 148 |
| 0 | 35 | 138 |
| 1 | 205 | 138 |
| 2 | 633 | 138 |
| 3 | 2214 | 133 |
| 4 | 6914 | 133 |
| 0 | 8246 | 128 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
(fma.f64 (+.f64 x x) eps (*.f64 eps eps)) |
(+.f64 x x) |
x |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
(*.f64 eps #s(approx (+ eps (* 2 x)) eps)) |
#s(approx (+ eps (* 2 x)) eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
(*.f64 (+.f64 x x) eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(fma.f64 #s(literal 2 binary64) x eps) |
#s(literal 2 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x))) |
(*.f64 eps (+.f64 (+.f64 eps x) x)) |
(+.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 eps x))) (*.f64 eps x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))) (*.f64 eps x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) eps) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 eps eps))) (*.f64 eps eps)) |
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) (neg.f64 eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))) (*.f64 (+.f64 eps x) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))) (*.f64 eps eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps)) |
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal -2 binary64) x) eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (-.f64 (neg.f64 x) eps) eps))) (+.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (fma.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps))) (-.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) eps))) (+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 (*.f64 eps x) #s(literal -2 binary64)))) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps) (fma.f64 (*.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) eps) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (fma.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (+.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (+.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (-.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) eps)) |
(fma.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x) (*.f64 eps eps)) |
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps)) |
(fma.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64) (*.f64 eps eps)) |
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 x x) eps)) |
(fma.f64 (-.f64 (neg.f64 x) eps) (neg.f64 eps) (*.f64 eps x)) |
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps) (*.f64 eps eps)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 eps) (*.f64 eps eps)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps) (*.f64 eps eps)) |
(fma.f64 (neg.f64 x) (neg.f64 eps) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) eps) (*.f64 eps eps)) |
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps)) |
(fma.f64 (neg.f64 eps) (-.f64 (neg.f64 x) eps) (*.f64 eps x)) |
(fma.f64 (neg.f64 eps) (*.f64 #s(literal -2 binary64) x) (*.f64 eps eps)) |
(fma.f64 (neg.f64 eps) (neg.f64 x) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps)) |
(fma.f64 (+.f64 eps x) eps (*.f64 eps x)) |
(fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 1 binary64) (*.f64 eps eps)) |
(fma.f64 (+.f64 x x) eps (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) eps)) (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps)) |
(fma.f64 eps (+.f64 eps x) (*.f64 eps x)) |
(fma.f64 eps (+.f64 x x) (*.f64 eps eps)) |
(fma.f64 eps eps (*.f64 (+.f64 x x) eps)) |
(fma.f64 eps x (*.f64 (+.f64 eps x) eps)) |
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps)) |
(fma.f64 x eps (*.f64 (+.f64 eps x) eps)) |
(-.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps)) |
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps)) |
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps)) |
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal -2 binary64))) |
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps)) |
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x)) |
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)) |
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x) |
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(*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x) |
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(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
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(fma.f64 #s(literal -2 binary64) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (+.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (+.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) |
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) |
(-.f64 x (neg.f64 x)) |
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(+.f64 (+.f64 x x) #s(literal 0 binary64)) |
(+.f64 x x) |
x |
eps |
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(*.f64 (pow.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64))) |
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(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
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(*.f64 (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 eps))) |
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(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 eps))) (sqrt.f64 (*.f64 (neg.f64 (fabs.f64 eps)) (*.f64 eps eps)))) |
(*.f64 (sqrt.f64 (fabs.f64 eps)) (sqrt.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps)))) |
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(*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (fabs.f64 eps)) |
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(*.f64 (pow.f64 eps (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 eps (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.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 (*.f64 eps eps) (pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 0 binary64))) |
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(*.f64 (*.f64 eps eps) (pow.f64 (neg.f64 eps) #s(literal 0 binary64))) |
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(*.f64 (*.f64 eps eps) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 eps eps) |
(pow.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (fabs.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)) |
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(neg.f64 (*.f64 (neg.f64 eps) eps)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) |
(fabs.f64 (*.f64 (neg.f64 eps) (neg.f64 (fabs.f64 eps)))) |
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(fabs.f64 (*.f64 (neg.f64 (fabs.f64 eps)) eps)) |
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(fabs.f64 (*.f64 (neg.f64 eps) eps)) |
(fabs.f64 (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 eps))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 1 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 (log.f64 eps) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(approx (+ eps (* 2 x)) eps) eps)) |
(*.f64 #s(approx (+ eps (* 2 x)) eps) eps) |
(*.f64 eps #s(approx (+ eps (* 2 x)) eps)) |
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(neg.f64 (*.f64 #s(approx (+ eps (* 2 x)) eps) (neg.f64 eps))) |
#s(approx (+ eps (* 2 x)) eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
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(*.f64 (+.f64 eps eps) x) |
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(fma.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) eps))) |
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(fma.f64 (+.f64 eps eps) x (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) eps))) |
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(fma.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) eps))) |
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 eps x)) |
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(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) eps))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps) (*.f64 (*.f64 (+.f64 x x) eps) #s(literal 0 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) eps))) |
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(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x x) eps))) |
(fma.f64 (neg.f64 x) (neg.f64 eps) (*.f64 eps x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 eps x)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (fma.f64 (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (-.f64 (neg.f64 x) eps) eps) (*.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps))) (-.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) eps))) (+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 (*.f64 eps x) #s(literal -2 binary64)))) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps) (fma.f64 (*.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) eps) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (fma.f64 (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 (*.f64 eps x) #s(literal -2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps)) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) eps) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (+.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (+.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (-.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) eps)) |
(fma.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x) (*.f64 eps eps)) |
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps)) |
(fma.f64 (*.f64 (neg.f64 x) eps) #s(literal -2 binary64) (*.f64 eps eps)) |
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 x x) eps)) |
(fma.f64 (-.f64 (neg.f64 x) eps) (neg.f64 eps) (*.f64 eps x)) |
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) eps) (*.f64 eps eps)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 eps) (*.f64 eps eps)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps) (*.f64 eps eps)) |
(fma.f64 (neg.f64 x) (neg.f64 eps) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) eps) (*.f64 eps eps)) |
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps)) |
(fma.f64 (neg.f64 eps) (-.f64 (neg.f64 x) eps) (*.f64 eps x)) |
(fma.f64 (neg.f64 eps) (*.f64 #s(literal -2 binary64) x) (*.f64 eps eps)) |
(fma.f64 (neg.f64 eps) (neg.f64 x) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps)) |
(fma.f64 (+.f64 eps x) eps (*.f64 eps x)) |
(fma.f64 (*.f64 (+.f64 x x) eps) #s(literal 1 binary64) (*.f64 eps eps)) |
(fma.f64 (+.f64 x x) eps (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) eps)) (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps)) |
(fma.f64 eps (+.f64 eps x) (*.f64 eps x)) |
(fma.f64 eps (+.f64 x x) (*.f64 eps eps)) |
(fma.f64 eps eps (*.f64 (+.f64 x x) eps)) |
(fma.f64 eps x (*.f64 (+.f64 eps x) eps)) |
(fma.f64 x (+.f64 eps eps) (*.f64 eps eps)) |
(fma.f64 x eps (*.f64 (+.f64 eps x) eps)) |
(-.f64 (*.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) eps)) |
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) eps)) |
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps)) |
(-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps x) #s(literal -2 binary64))) |
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps)) |
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x)) |
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)) |
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) eps) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 eps x))) (+.f64 eps x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (+.f64 x x))) (+.f64 x x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) eps)) eps) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (-.f64 (neg.f64 x) eps) x)))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (+.f64 eps (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (+.f64 eps x) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x (-.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (*.f64 (neg.f64 eps) (*.f64 eps eps))) (fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 eps x) #s(literal -2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (-.f64 #s(literal 0 binary64) eps)) |
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (+.f64 (+.f64 x x) (neg.f64 eps))) |
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps)) |
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x (-.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (+.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal 0 binary64)) (-.f64 eps #s(literal 0 binary64))) |
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps x) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x x) |
(fma.f64 #s(literal -2 binary64) (neg.f64 x) eps) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64) eps) |
(fma.f64 (neg.f64 x) #s(literal -2 binary64) eps) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x) |
(fma.f64 #s(literal 1 binary64) (+.f64 x x) eps) |
(fma.f64 (+.f64 x x) #s(literal 1 binary64) eps) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x)) eps) |
(fma.f64 #s(literal 2 binary64) x eps) |
(fma.f64 x #s(literal 2 binary64) eps) |
(-.f64 (+.f64 eps x) (neg.f64 x)) |
(-.f64 (+.f64 x x) (neg.f64 eps)) |
(-.f64 eps (*.f64 #s(literal -2 binary64) x)) |
(-.f64 x (-.f64 (neg.f64 x) eps)) |
(+.f64 (+.f64 eps x) x) |
(+.f64 (+.f64 x x) eps) |
(+.f64 eps (+.f64 x x)) |
(+.f64 x (+.f64 eps x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps) |
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps)) |
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x)) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 x x (*.f64 (neg.f64 x) eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 eps) (*.f64 eps eps))) (fma.f64 x x (fma.f64 eps eps (*.f64 (neg.f64 x) eps)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x)))) |
(/.f64 (+.f64 (*.f64 (*.f64 eps eps) eps) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(neg.f64 (-.f64 (neg.f64 x) eps)) |
(-.f64 eps (neg.f64 x)) |
(-.f64 x (neg.f64 eps)) |
(+.f64 eps x) |
(+.f64 x eps) |
Compiled 2 634 to 1 306 computations (50.4% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 0 | 367 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 367 | 5 | 372 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ✓ | 62.6% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x))) |
| ✓ | 74.2% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
Compiled 102 to 96 computations (5.9% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
(fma.f64 eps eps (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(fma.f64 eps eps (fma.f64 (+.f64 eps eps) x #s(literal 0 binary64))) |
3 calls:
| 3.0ms | eps |
| 3.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
3 calls:
| 15.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 2.0ms | x |
| 2.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 93.8% | 3 | x |
| 86.2% | 3 | eps |
Compiled 10 to 11 computations (-10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps))) |
3 calls:
| 1.0ms | eps |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 1 | eps |
| 74.2% | 1 | x |
| 74.2% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 7e-323 |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | done |
Compiled 39 to 32 computations (17.9% saved)
Compiled 47 to 39 computations (17% saved)
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