
Time bar (total: 3.5s)
| 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)
| 447.0ms | 5 110× | 0 | valid |
| 441.0ms | 2 493× | 1 | valid |
| 236.0ms | 653× | 2 | valid |
ival-pow2: 520.0ms (67.1% of total)adjust: 104.0ms (13.4% of total)ival-sub!: 97.0ms (12.5% of total)ival-add!: 55.0ms (7.1% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 58 |
| 1 | 105 | 54 |
| 2 | 442 | 54 |
| 3 | 2048 | 54 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.2% | (-.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)
| 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)) #s(hole binary64 (pow eps 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2)))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2)))) |
#s(approx (+ x eps) #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (+ eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow x 2) #s(hole binary64 (pow x 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x)))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))))) |
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2)))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))) |
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
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 | 99 | 398 |
| 0 | 104 | 370 |
| 1 | 674 | 358 |
| 2 | 4904 | 358 |
| 0 | 8183 | 343 |
| 1 | 20173 | 343 |
| 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)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2)))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2)))) |
#s(approx (+ x eps) #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (+ eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow x 2) #s(hole binary64 (pow x 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x)))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))))) |
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2)))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))) |
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x)) |
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (*.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))) (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 x (+.f64 eps x)))) |
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x))) |
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x))) |
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x))) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x))) |
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) (+.f64 eps x))) |
(fma.f64 (-.f64 (neg.f64 eps) x) (-.f64 (neg.f64 eps) x) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (+.f64 eps x) (-.f64 eps x))) |
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x))) |
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (+.f64 eps x) (+.f64 eps x))) |
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x)) |
(fma.f64 eps eps (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x))) |
(fma.f64 eps eps (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x))) |
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x))) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))) |
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (-.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 x) x))) |
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (fma.f64 (neg.f64 eps) eps (*.f64 x x))) |
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x)) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 (+.f64 eps x) (-.f64 eps x))) |
(+.f64 (*.f64 eps eps) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 x) x))) |
(+.f64 (*.f64 eps eps) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 x x))) |
(+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x)) |
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x))) |
(*.f64 (-.f64 (neg.f64 eps) x) (-.f64 (neg.f64 eps) x)) |
(*.f64 (+.f64 eps x) (+.f64 eps x)) |
(pow.f64 (fabs.f64 (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (+.f64 eps x)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (neg.f64 eps) x) #s(literal 2 binary64)) |
(pow.f64 (+.f64 eps x) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) (fma.f64 #s(literal 2 binary64) x eps))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) x) (fma.f64 #s(literal 2 binary64) eps x))) (-.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (neg.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) x) (fma.f64 #s(literal 2 binary64) eps x) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 (neg.f64 eps) eps))))) |
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps 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 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps))) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 (neg.f64 eps) eps))) |
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) (fma.f64 #s(literal 2 binary64) x eps)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) x) (fma.f64 #s(literal 2 binary64) eps x) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) x) (fma.f64 #s(literal 2 binary64) eps x)) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))))) |
(neg.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))) |
(neg.f64 (-.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))) |
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x)) |
(fma.f64 (+.f64 x x) eps (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps))) |
(fma.f64 (+.f64 x x) eps (fma.f64 x x (*.f64 eps eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps)) |
(fma.f64 (+.f64 eps eps) x (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps))) |
(fma.f64 (+.f64 eps eps) x (fma.f64 x x (*.f64 eps eps))) |
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps))) |
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (fma.f64 x x (*.f64 eps eps))) |
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x)) |
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps))) |
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (fma.f64 x x (*.f64 eps eps))) |
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 x x)) |
(fma.f64 eps (+.f64 x x) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps))) |
(fma.f64 eps (+.f64 x x) (fma.f64 x x (*.f64 eps eps))) |
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x))) |
(fma.f64 eps eps (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) eps x) (*.f64 eps eps)) |
(fma.f64 x (+.f64 eps eps) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps))) |
(fma.f64 x (+.f64 eps eps) (fma.f64 x x (*.f64 eps eps))) |
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x))) |
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 (neg.f64 eps) eps)) |
(-.f64 (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 eps eps))) |
(-.f64 (*.f64 (+.f64 x x) eps) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 eps) eps))) |
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) eps x)) x)) |
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) eps x))) |
(-.f64 (*.f64 eps eps) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) eps)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))) |
(-.f64 (*.f64 x x) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))) |
(fabs.f64 (neg.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)))) |
(fabs.f64 (*.f64 (+.f64 eps x) (+.f64 eps x))) |
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x)) |
(+.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps)) |
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 x (+.f64 eps x))) |
(+.f64 (*.f64 x (+.f64 eps x)) (*.f64 eps (+.f64 eps x))) |
(+.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 2 binary64) (*.f64 eps (neg.f64 x)))) (*.f64 x x)) |
(+.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 eps)))) (*.f64 eps eps)) |
(+.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (+.f64 x x) eps)) |
(+.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x x) eps)) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 x x)) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) (*.f64 eps eps)) |
(+.f64 (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) eps))) |
(+.f64 (*.f64 (+.f64 x x) eps) (fma.f64 x x (*.f64 eps eps))) |
(+.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)) |
(+.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(/.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 eps (neg.f64 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 (*.f64 (+.f64 eps x) (-.f64 x eps)) (+.f64 x (neg.f64 eps))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (+.f64 eps (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x)))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(neg.f64 (-.f64 (neg.f64 eps) x)) |
(-.f64 eps (neg.f64 x)) |
(-.f64 x (neg.f64 eps)) |
(+.f64 eps x) |
(+.f64 x eps) |
x |
eps |
#s(literal 2 binary64) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fabs.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 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#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) (*.f64 (+.f64 eps x) (+.f64 eps x))) |
#s(approx (+ x eps) eps) |
#s(approx (+ x eps) (+.f64 eps x)) |
#s(approx x x) |
#s(approx (pow x 2) (*.f64 x x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x)) |
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x)) |
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x) #s(literal -1 binary64)) x) x)) |
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x)) |
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x) #s(literal -1 binary64)) x) x)) |
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x 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) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)) |
#s(approx (pow (+ x eps) 2) (*.f64 (+.f64 eps x) (+.f64 eps x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)) |
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x eps)) (*.f64 #s(literal -2 binary64) x)) eps) #s(literal -1 binary64)) eps) eps)) |
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) |
#s(approx (pow (+ x eps) 2) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x eps)) (*.f64 #s(literal -2 binary64) x)) eps) #s(literal -1 binary64)) eps) eps)) |
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)) |
Compiled 1 149 to 485 computations (57.8% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 5 | 163 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 159 | 5 | 164 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x)) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ▶ | 65.3% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
| ▶ | 99.9% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)) |
| ▶ | 71.4% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
Compiled 112 to 112 computations (0% saved)
| Inputs |
|---|
#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) |
x |
eps |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
(*.f64 (+.f64 x x) eps) |
(+.f64 x x) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x)) |
(*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x) |
(fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) |
(/.f64 eps x) |
(+.f64 eps eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) |
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2)))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps)) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (pow eps 2) x))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x))) |
#s(approx (/ eps x) #s(hole binary64 (/ eps x))) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (+ 1 (* 2 (/ x eps))))) |
#s(approx (/ x eps) #s(hole binary64 (/ x eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x))))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x))))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* 2 eps))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x)))) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* 2 (/ x eps)))) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* x (+ (* 2 (/ 1 eps)) (/ 1 x))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x))))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* eps (+ 2 (/ eps x))))) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (/ (+ eps (* 2 x)) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x))))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1) |
| 3.0ms | eps | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1) |
| 3.0ms | x | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1) |
| 3.0ms | x | @ | 0 | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1) |
| 3.0ms | eps | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* eps (/ eps x)) (+ eps eps)) x) (+ (* eps (/ eps x)) (+ eps eps)) (/ eps x) (+ eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 553 |
| 0 | 122 | 501 |
| 1 | 570 | 489 |
| 2 | 3345 | 489 |
| 0 | 9263 | 488 |
| 1 | 25296 | 488 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#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) |
x |
eps |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
(*.f64 (+.f64 x x) eps) |
(+.f64 x x) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x)) |
(*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x) |
(fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) |
(/.f64 eps x) |
(+.f64 eps eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) |
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
#s(literal 1 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2)))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps)) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (pow eps 2) x))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (/ (+ (* 2 (* eps x)) (pow eps 2)) x))) |
#s(approx (/ eps x) #s(hole binary64 (/ eps x))) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (+ 1 (* 2 (/ x eps))))) |
#s(approx (/ x eps) #s(hole binary64 (/ x eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x))))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x))))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* 2 eps))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (+ (* 2 eps) (/ (pow eps 2) x)))) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* 2 (/ x eps)))) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* x (+ (* 2 (/ 1 eps)) (/ 1 x))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x))))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* eps (+ 2 (/ eps x))))) |
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (/ (+ eps (* 2 x)) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 2 (/ 1 eps)) (/ 1 x))))) |
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1))))) |
| 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) (neg.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))) x) |
(*.f64 (neg.f64 x) (neg.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps))) |
(*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) (*.f64 eps x)) |
(*.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps) x) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(*.f64 (*.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(*.f64 x (*.f64 (neg.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps)) #s(literal -1 binary64))) |
(*.f64 x (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 x x) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps))) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps))) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps))) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps))) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fabs.f64 (*.f64 eps x)) (fabs.f64 (/.f64 eps x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 (*.f64 eps x)) (fabs.f64 (/.f64 eps x)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 (*.f64 eps x)) (fabs.f64 (/.f64 eps x)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps))) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps))) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps))) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fabs.f64 (*.f64 x (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 (*.f64 x (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 (*.f64 x (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (sqrt.f64 (fabs.f64 eps)) (sqrt.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (sqrt.f64 (fabs.f64 eps)) (sqrt.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (sqrt.f64 (fabs.f64 eps)) (sqrt.f64 (*.f64 (fabs.f64 eps) (*.f64 eps eps))) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fabs.f64 (/.f64 eps x)) (fabs.f64 (*.f64 eps x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 (/.f64 eps x)) (fabs.f64 (*.f64 eps x)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 (/.f64 eps x)) (fabs.f64 (*.f64 eps x)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fma.f64 (/.f64 eps x) eps eps) x (*.f64 eps x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) eps) #s(literal -1 binary64) (*.f64 eps eps)) |
(fma.f64 (fabs.f64 eps) (neg.f64 (fabs.f64 eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 eps) (neg.f64 (fabs.f64 eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 eps) (neg.f64 (fabs.f64 eps)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fabs.f64 eps) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 eps) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 eps) (neg.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fabs.f64 eps) eps (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 eps) eps (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 eps) eps (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (fabs.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (neg.f64 eps) eps (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 eps) eps (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps) (*.f64 eps eps)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 eps x) eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x) (*.f64 eps eps)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) eps) (*.f64 eps eps)) |
(fma.f64 #s(literal -1 binary64) (*.f64 eps eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 #s(literal -1 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps)) |
(fma.f64 (*.f64 (/.f64 eps x) eps) (fabs.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 (/.f64 eps x) eps) (fabs.f64 x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 eps x) eps) (fabs.f64 x) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 (/.f64 eps x) eps) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 (/.f64 eps x) eps) (neg.f64 x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 eps x) eps) (neg.f64 x) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 eps x) eps) x (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (/.f64 eps x) (*.f64 eps x) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (+.f64 x x) eps (*.f64 eps eps)) |
(fma.f64 (*.f64 (+.f64 eps eps) x) #s(literal 1 binary64) (*.f64 eps eps)) |
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 eps x) (/.f64 eps x) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps)) |
(fma.f64 (*.f64 eps eps) #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 eps eps) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 eps eps) #s(literal -1 binary64) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps x)) (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps)) |
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#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (/ x eps) (/.f64 x eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps)) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (+.f64 eps eps)) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps)) |
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (+.f64 x x) eps)) |
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps)) |
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 (+.f64 eps eps) (/.f64 x eps) eps) eps)) |
#s(approx (+ (* 2 x) eps) (fma.f64 (+.f64 eps eps) (/.f64 x eps) eps)) |
#s(approx (+ (* eps (/ eps x)) (+ eps eps)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal -1 binary64) x)) (*.f64 eps eps))) |
#s(approx (+ (* 2 x) eps) (fma.f64 (+.f64 eps eps) (/.f64 x eps) eps)) |
Compiled 6 106 to 2 714 computations (55.6% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 739 | 5 | 744 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 741 | 8 | 749 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
| ▶ | 55.4% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ▶ | 58.8% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x))) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
| ✓ | 65.3% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
| ▶ | 38.4% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) eps)) |
| ✓ | 71.4% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
Compiled 140 to 140 computations (0% saved)
| 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 (neg.f64 eps) eps)) |
(*.f64 (neg.f64 eps) eps) |
(neg.f64 eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps)) |
(fabs.f64 eps) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
(*.f64 (+.f64 (+.f64 eps x) x) eps) |
(+.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x))) |
(*.f64 (/.f64 eps x) (*.f64 eps x)) |
(/.f64 eps x) |
(*.f64 eps x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (+ eps x) x) #s(hole binary64 eps)) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x)))) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx (/ eps x) #s(hole binary64 (/ eps x))) |
#s(approx (* eps x) #s(hole binary64 (* eps x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x))))) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x))))) |
#s(approx (* (neg eps) eps) #s(hole binary64 (* -1 (pow eps 2)))) |
#s(approx (neg eps) #s(hole binary64 (* -1 eps))) |
#s(approx (/ (fabs eps) (/ 1 eps)) #s(hole binary64 (* eps (fabs eps)))) |
#s(approx (fabs eps) #s(hole binary64 (fabs eps))) |
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | 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)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps x) (* eps x)) |
| 3.0ms | 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)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps x) (* eps x)) |
| 2.0ms | 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)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps x) (* eps x)) |
| 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)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps 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)) (* (neg eps) eps) (neg eps) (- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) (/ 1 eps) 1 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (/ eps x) (* eps x)) (/ eps x) (* eps x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 477 |
| 0 | 126 | 413 |
| 1 | 575 | 407 |
| 2 | 3236 | 399 |
| 0 | 8297 | 367 |
| 1 | 22424 | 367 |
| 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 (neg.f64 eps) eps)) |
(*.f64 (neg.f64 eps) eps) |
(neg.f64 eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps)) |
(fabs.f64 eps) |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
(*.f64 (+.f64 (+.f64 eps x) x) eps) |
(+.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x))) |
(*.f64 (/.f64 eps x) (*.f64 eps x)) |
(/.f64 eps x) |
(*.f64 eps x) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2)))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (+ eps x) x) #s(hole binary64 eps)) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x)))) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx (/ eps x) #s(hole binary64 (/ eps x))) |
#s(approx (* eps x) #s(hole binary64 (* eps x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x))))) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x))))) |
#s(approx (* (neg eps) eps) #s(hole binary64 (* -1 (pow eps 2)))) |
#s(approx (neg eps) #s(hole binary64 (* -1 eps))) |
#s(approx (/ (fabs eps) (/ 1 eps)) #s(hole binary64 (* eps (fabs eps)))) |
#s(approx (fabs eps) #s(hole binary64 (fabs eps))) |
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
| 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) (fma.f64 #s(literal -2 binary64) eps (*.f64 (/.f64 eps x) eps))) x) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (*.f64 (/.f64 eps x) eps))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64)) (*.f64 eps eps)) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 (/.f64 eps x) eps)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps))) |
(*.f64 (fma.f64 (/.f64 eps x) eps (+.f64 eps eps)) x) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))) |
(*.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(*.f64 x (*.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 (/.f64 eps x) eps)) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 (/.f64 eps x) eps (+.f64 eps eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 eps eps) (fma.f64 (*.f64 (*.f64 eps eps) eps) eps (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps)) #s(literal 1 binary64))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) eps) x (*.f64 eps eps))) |
(neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 (/.f64 (+.f64 x x) eps) (neg.f64 eps)) (neg.f64 eps) (*.f64 eps eps)) |
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal 2 binary64)) (/.f64 x eps) (*.f64 eps eps)) |
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 (*.f64 eps eps) (/.f64 x eps)) #s(literal 2 binary64) (*.f64 eps eps)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 eps) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 eps) (*.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 x))) |
(fma.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 eps) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) eps (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) eps))) |
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eps |
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#s(literal 1 binary64) |
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(fma.f64 eps (-.f64 (/.f64 x eps) #s(literal -1 binary64)) x) |
(fma.f64 eps #s(literal 1 binary64) (+.f64 x x)) |
(fma.f64 x (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal -1 binary64)) x) |
(fma.f64 x (/.f64 (neg.f64 eps) x) (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x) |
(fma.f64 x #s(literal 2 binary64) (neg.f64 eps)) |
(fma.f64 x #s(literal 2 binary64) eps) |
(-.f64 (+.f64 eps x) (neg.f64 x)) |
(-.f64 (+.f64 x x) (*.f64 (neg.f64 x) (/.f64 eps x))) |
(-.f64 (+.f64 x x) (*.f64 (/.f64 (neg.f64 eps) x) x)) |
(-.f64 (+.f64 x x) (neg.f64 eps)) |
(-.f64 eps (*.f64 (neg.f64 eps) (/.f64 (+.f64 x x) eps))) |
(-.f64 eps (*.f64 #s(literal -2 binary64) x)) |
(-.f64 eps (+.f64 x x)) |
(-.f64 x (-.f64 (neg.f64 eps) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 x x) eps) (neg.f64 eps)) eps) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 eps) x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) |
(+.f64 (*.f64 x (/.f64 (neg.f64 eps) x)) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 (/.f64 (neg.f64 eps) x) (neg.f64 x)) (*.f64 #s(literal -2 binary64) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (neg.f64 eps) x) x) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 (neg.f64 eps) (/.f64 (+.f64 x x) eps)) (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(+.f64 (+.f64 eps x) x) |
(+.f64 (+.f64 x x) (neg.f64 eps)) |
(+.f64 (+.f64 x x) eps) |
(+.f64 eps (+.f64 x x)) |
(+.f64 x (+.f64 eps x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 eps x))) x) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x eps))) eps) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 eps x))) |
(*.f64 (-.f64 (neg.f64 eps) x) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x eps)) (neg.f64 eps)) |
(*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 eps) x)) |
(*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 x eps))) |
(*.f64 eps (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal -1 binary64))) |
(*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x eps)))) |
(*.f64 eps (-.f64 (/.f64 x eps) #s(literal -1 binary64))) |
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal -1 binary64))) |
(*.f64 x (-.f64 (/.f64 eps x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (+.f64 eps (neg.f64 x))) |
(/.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)) |
(/.f64 (fma.f64 x x (*.f64 eps eps)) (+.f64 x (neg.f64 eps))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x)))) |
(/.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 eps (fma.f64 x x (*.f64 eps (neg.f64 x))))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 eps) x))) |
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 eps x) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 eps) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 (neg.f64 eps) x)) |
(fma.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)) x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 eps) x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (neg.f64 eps)) (neg.f64 eps) eps) |
(fma.f64 (/.f64 (neg.f64 eps) x) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) eps x) |
(fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(fma.f64 eps #s(literal 1 binary64) x) |
(-.f64 eps (*.f64 (neg.f64 eps) (/.f64 x eps))) |
(-.f64 eps (*.f64 (/.f64 x (neg.f64 eps)) eps)) |
(-.f64 eps (neg.f64 x)) |
(-.f64 x (*.f64 (neg.f64 x) (/.f64 eps x))) |
(-.f64 x (*.f64 (/.f64 (neg.f64 eps) x) x)) |
(-.f64 x (neg.f64 eps)) |
(+.f64 (*.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps))) (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 eps) x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 x (neg.f64 eps)) (neg.f64 eps)) eps) |
(+.f64 (*.f64 (/.f64 (neg.f64 eps) x) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(+.f64 eps x) |
(+.f64 x (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(+.f64 x eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps #s(literal -1 binary64))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) eps) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (*.f64 eps eps) eps))) |
(*.f64 (*.f64 (*.f64 eps x) eps) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 eps x) eps)) |
(*.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 (/.f64 eps x) eps) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 eps x) eps) x) |
(*.f64 (/.f64 eps x) (*.f64 eps x)) |
(*.f64 (*.f64 eps x) (/.f64 eps x)) |
(*.f64 (*.f64 eps eps) #s(literal -1 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 eps eps)) |
(*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 (neg.f64 eps) eps) |
(*.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps x))) |
(*.f64 eps (neg.f64 eps)) |
(*.f64 eps eps) |
(*.f64 x (*.f64 (/.f64 eps x) eps)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps x) (neg.f64 eps))) x) |
(/.f64 (neg.f64 (*.f64 (neg.f64 eps) (*.f64 eps x))) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps x) eps))) x) |
(/.f64 (neg.f64 (*.f64 x (*.f64 eps eps))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 eps eps))) x) |
(/.f64 (*.f64 x (*.f64 eps eps)) (neg.f64 x)) |
(/.f64 (*.f64 x (*.f64 eps eps)) x) |
(/.f64 (*.f64 (*.f64 eps x) (neg.f64 eps)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 eps) (*.f64 eps x)) (neg.f64 x)) |
(/.f64 (/.f64 eps (/.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) |
(/.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) eps)) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps x) eps)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps x) eps)) x) |
(/.f64 (*.f64 (*.f64 eps x) eps) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 eps x) eps) x) |
(/.f64 (*.f64 eps eps) #s(literal -1 binary64)) |
(/.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 eps x) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) eps) (neg.f64 eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps)) |
(/.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) eps)) |
(/.f64 eps (/.f64 #s(literal 1 binary64) eps)) |
(neg.f64 (/.f64 eps (/.f64 #s(literal -1 binary64) eps))) |
(neg.f64 (*.f64 eps eps)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) |
(fabs.f64 (*.f64 eps eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) eps) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 eps) x)) |
(*.f64 (neg.f64 eps) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 eps (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 x eps) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) |
(/.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x eps)) |
(/.f64 (neg.f64 eps) (neg.f64 x)) |
(/.f64 eps x) |
(neg.f64 (/.f64 (neg.f64 eps) x)) |
(*.f64 eps x) |
(*.f64 x eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (+ x x) (+.f64 x x)) |
#s(approx x x) |
#s(approx (+ (+ eps x) x) eps) |
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps)) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx (/ eps x) (/.f64 eps x)) |
#s(approx (* eps x) (*.f64 eps x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps)) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps)) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (* (neg eps) eps) (*.f64 eps eps)) |
#s(approx (neg eps) (neg.f64 eps)) |
#s(approx (* (neg eps) eps) (*.f64 eps eps)) |
#s(approx (fabs eps) eps) |
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps)) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps)) |
#s(approx (+ eps x) (+.f64 eps x)) |
Compiled 2 645 to 1 335 computations (49.5% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 1 | 414 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 414 | 8 | 422 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
| ▶ | 71.3% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ✓ | 58.8% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
| ✓ | 65.3% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
| ✓ | 38.4% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) eps)) |
| ✓ | 71.4% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
Compiled 86 to 86 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (fabs eps) eps) |
eps |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x))))) |
#s(approx (/ (fabs eps) (/ 1 eps)) #s(hole binary64 (* eps (fabs eps)))) |
#s(approx (fabs eps) #s(hole binary64 (fabs eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1) |
| 1.0ms | eps | @ | 0 | ((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1) |
| 1.0ms | eps | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1) |
| 0.0ms | x | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1) |
| 0.0ms | x | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (/ (fabs eps) (/ 1 eps)) (fabs eps) eps (/ 1 eps) 1) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 192 |
| 0 | 52 | 186 |
| 1 | 296 | 172 |
| 2 | 1897 | 172 |
| 1× | iter-limit |
| 1× | unsound |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (fabs eps) eps) |
eps |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x))))) |
#s(approx (/ (fabs eps) (/ 1 eps)) #s(hole binary64 (* eps (fabs eps)))) |
#s(approx (fabs eps) #s(hole binary64 (fabs eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))) |
(/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (fabs eps) eps) |
eps |
(/.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
#s(approx eps eps) |
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps)) |
Compiled 22 to 21 computations (4.5% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 0 | 2 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 2 | 8 | 10 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
| ✓ | 71.3% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 #s(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ✓ | 58.8% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
| ✓ | 65.3% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps)) |
| ✓ | 38.4% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) eps)) |
| ✓ | 71.4% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
Compiled 157 to 137 computations (12.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) 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(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps))) |
#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 (+.f64 (+.f64 eps x) x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps))) |
3 calls:
| 4.0ms | eps |
| 3.0ms | x |
| 3.0ms | (-.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 eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) 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(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps))) |
#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 (+.f64 (+.f64 eps x) x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (/.f64 eps x) (*.f64 eps x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
3 calls:
| 25.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 3.0ms | eps |
| 3.0ms | x |
| 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 eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) 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(approx (fabs eps) eps) (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (/.f64 (fabs.f64 eps) (/.f64 #s(literal 1 binary64) eps))) |
| 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 eps)) |
3 calls:
| 3.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 93.3% | 3 | x |
| 88.0% | 3 | eps |
Compiled 10 to 11 computations (-10% saved)
Total -21.3b remaining (-116.3%)
Threshold costs -21.3b (-116.3%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (neg.f64 eps) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps 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 |
|---|---|---|
| 71.4% | 1 | eps |
| 71.4% | 1 | x |
| 71.4% | 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 | 2.7853564445200377e-305 |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | done |
Compiled 36 to 25 computations (30.6% saved)
Compiled 44 to 32 computations (27.3% saved)
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