
Time bar (total: 1.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 770.0ms | 8 157× | 1 | valid |
| 3.0ms | 99× | 0 | valid |
ival-sqrt: 247.0ms (43.9% of total)adjust: 166.0ms (29.5% of total)ival-add!: 113.0ms (20.1% of total)ival-sub!: 37.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)ival-<: 0.0ms (0% of total)Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 16 | 26 |
| 2 | 19 | 26 |
| 3 | 33 | 26 |
| 4 | 76 | 26 |
| 5 | 321 | 24 |
| 6 | 2820 | 24 |
| 7 | 6223 | 24 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.7% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x)) |
| 1.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x)) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 679 |
| 0 | 156 | 575 |
| 0 | 846 | 543 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx x x) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))) x))) |
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
Compiled 418 to 193 computations (53.8% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 36 | 6 | 42 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 36 | 7 | 43 |
| Status | Accuracy | Program |
|---|---|---|
| 8.0% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) | |
| ✓ | 6.7% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 3.9% | (-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
| ▶ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ▶ | 99.2% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
| ▶ | 99.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| ▶ | 97.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
Compiled 178 to 162 computations (9% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(literal -1/8 binary64) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(sqrt.f64 (pow.f64 x #s(literal -5 binary64))) |
(pow.f64 x #s(literal -5 binary64)) |
#s(literal -5 binary64) |
#s(literal -5/128 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(literal 1/16 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
(sqrt.f64 #s(approx (+ x 1) x)) |
#s(approx (+ x 1) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3)))) |
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5))))) |
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x)))) |
| 7.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x)))) |
| 3.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 3130 |
| 0 | 395 | 2448 |
| 0 | 1853 | 2357 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(literal -1/8 binary64) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(sqrt.f64 (pow.f64 x #s(literal -5 binary64))) |
(pow.f64 x #s(literal -5 binary64)) |
#s(literal -5 binary64) |
#s(literal -5/128 binary64) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(literal 1/16 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
(sqrt.f64 #s(approx (+ x 1) x)) |
#s(approx (+ x 1) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3)))) |
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5))))) |
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -1/8 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))) |
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) |
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal -5/2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal -5 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -5 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64))) |
#s(literal -5 binary64) |
#s(literal -5/128 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) |
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 1/16 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))))) |
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
(pow.f64 #s(approx (+ x 1) x) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ x 1) x)) |
#s(approx (+ x 1) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx x x) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (sqrt (pow x -5)) (pow.f64 x #s(literal -5/2 binary64))) |
#s(approx (pow x -5) (pow.f64 x #s(literal -5 binary64))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (/ 1 (* (* x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (* (/ 1 (sqrt x)) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -5/128 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x))) |
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) |
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 5/128 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) x))) |
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) |
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))) x))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x))) |
Compiled 2 827 to 962 computations (66% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 9 | 194 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 190 | 11 | 201 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 6.7% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| 24.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) #s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))) x)) | |
| 99.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) | |
| ▶ | 99.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
| ▶ | 97.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| 30.2% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x)) | |
| ▶ | 97.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| ▶ | 98.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))) |
| 98.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) | |
| ▶ | 23.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
Compiled 468 to 436 computations (6.8% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(sqrt.f64 x) |
x |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(literal 1/16 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))) |
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) |
(/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) |
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)) |
#s(literal -5/128 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2)))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (/ (/ -1/8 (sqrt x)) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/ -1/8 (sqrt x)) -1/8 (sqrt x) x (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (- (sqrt (+ x 1)) (sqrt x)) (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* 1/16 (sqrt x)) (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x x))) |
| 4.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/ -1/8 (sqrt x)) -1/8 (sqrt x) x (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (- (sqrt (+ x 1)) (sqrt x)) (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* 1/16 (sqrt x)) (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x x))) |
| 4.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/ -1/8 (sqrt x)) -1/8 (sqrt x) x (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (- (sqrt (+ x 1)) (sqrt x)) (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* 1/16 (sqrt x)) (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 429 | 5228 |
| 0 | 489 | 4133 |
| 0 | 2160 | 3942 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(sqrt.f64 x) |
x |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(literal 1/16 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))) |
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) |
(/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) |
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)) |
#s(literal -5/128 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2)))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (/ (/ -1/8 (sqrt x)) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
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#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
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#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) x)) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
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#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))))) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
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#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
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#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64))) |
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#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
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#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 x x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
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#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
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#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))) x)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x))) x)))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x))) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 x x))) |
#s(approx (* -1/8 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) |
#s(approx (* 1/16 (sqrt x)) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
#s(approx (* -5/128 (sqrt x)) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
Compiled 4 932 to 1 446 computations (70.7% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 4 | 271 |
| Fresh | 0 | 4 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 270 | 12 | 282 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 6.7% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ▶ | 98.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) |
| 24.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) #s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))) x)) | |
| 99.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) | |
| ▶ | 99.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
| ✓ | 97.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| 30.2% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x)) | |
| ✓ | 97.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| ▶ | 98.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| ▶ | 21.6% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
| ▶ | 23.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
Compiled 523 to 483 computations (7.6% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(literal 1/16 binary64) |
(sqrt.f64 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) |
(/.f64 (sqrt.f64 x) x) |
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) |
(*.f64 (sqrt.f64 x) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)) |
#s(literal -5/128 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) |
(fma.f64 (fma.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (log.f64 x) #s(literal 3 binary64)) |
(log.f64 x) |
#s(literal 3 binary64) |
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3)))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2)))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ -1/8 (* (sqrt x) x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (pow x 3))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (sqrt (exp (* (log x) 3))) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (exp (* (log x) 3)) #s(hole binary64 (pow x 3))) |
#s(approx (* (log x) 3) #s(hole binary64 (* 3 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/2 (sqrt (pow x 5))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (pow x 5))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (log x) 3) #s(hole binary64 (* -3 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (exp (* (log x) 3))) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (* (log x) 3) #s(hole binary64 (* 3 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) 1/2 (sqrt x) x (/ 1/16 (sqrt (* (* x x) x))) 1/16 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (/ (sqrt x) x) (/ -1/8 (* (sqrt x) x)) (* (sqrt x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) (sqrt (exp (* (log x) 3))) (exp (* (log x) 3)) (* (log x) 3) (log x) 3 (* 1/16 (sqrt x))) |
| 22.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) 1/2 (sqrt x) x (/ 1/16 (sqrt (* (* x x) x))) 1/16 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (/ (sqrt x) x) (/ -1/8 (* (sqrt x) x)) (* (sqrt x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) (sqrt (exp (* (log x) 3))) (exp (* (log x) 3)) (* (log x) 3) (log x) 3 (* 1/16 (sqrt x))) |
| 13.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) 1/2 (sqrt x) x (/ 1/16 (sqrt (* (* x x) x))) 1/16 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (/ (sqrt x) x) (/ -1/8 (* (sqrt x) x)) (* (sqrt x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) (sqrt (exp (* (log x) 3))) (exp (* (log x) 3)) (* (log x) 3) (log x) 3 (* 1/16 (sqrt x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 490 | 6770 |
| 0 | 579 | 5461 |
| 0 | 2231 | 5297 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(literal 1/16 binary64) |
(sqrt.f64 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) |
(/.f64 (sqrt.f64 x) x) |
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) |
(*.f64 (sqrt.f64 x) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) |
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(*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)) |
#s(literal -5/128 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
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(sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (log.f64 x) #s(literal 3 binary64)) |
(log.f64 x) |
#s(literal 3 binary64) |
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3)))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2)))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ -1/8 (* (sqrt x) x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (pow x 3))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x)))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x)))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (sqrt (exp (* (log x) 3))) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (exp (* (log x) 3)) #s(hole binary64 (pow x 3))) |
#s(approx (* (log x) 3) #s(hole binary64 (* 3 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/2 (sqrt (pow x 5))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (pow x 5))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (log x) 3) #s(hole binary64 (* -3 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (exp (* (log x) 3))) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (* (log x) 3) #s(hole binary64 (* 3 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) |
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
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#s(literal 1/2 binary64) |
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(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))))) |
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(fma.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) |
(-.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x))) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
(-.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) |
(+.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
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(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) |
(-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 x)) |
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 3/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) x)) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (log.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (log.f64 x)) |
(log.f64 (*.f64 (*.f64 x x) x)) |
(log.f64 x) |
#s(literal 3 binary64) |
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/16 binary64)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) |
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#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx x x) |
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#s(approx (sqrt (* (* x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ -1/8 (sqrt x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
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#s(approx (sqrt (/ 1 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) |
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#s(approx (/ (sqrt x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (/ -1/8 (* (sqrt x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) |
#s(approx (* (sqrt x) x) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64))) |
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#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
#s(approx (* -1/8 (sqrt x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (* -5/128 (sqrt x)) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) |
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
#s(approx (sqrt (* (* x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
#s(approx (* (log x) 3) (*.f64 (log.f64 x) #s(literal 3 binary64))) |
#s(approx (log x) (log.f64 x)) |
#s(approx (* 1/16 (sqrt x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) x)) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) x)) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) x)) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 x x) x))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 x x))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 x x))) |
#s(approx (* (log x) 3) (*.f64 (neg.f64 (log.f64 x)) #s(literal -3 binary64))) |
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x))) |
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) x))) |
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (sqrt (* (* x x) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (sqrt (/ 1 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (sqrt x) x) (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (* (sqrt x) x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -5/128 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x))) x)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x))) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) (*.f64 (*.f64 x x) x)))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 x x))) |
#s(approx (* -1/8 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) |
#s(approx (* -5/128 (sqrt x)) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))) |
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x))) x)))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x))) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 x x))) |
#s(approx (sqrt (* (* x x) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (* (log x) 3) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64))) |
#s(approx (log x) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))) |
#s(approx (* 1/16 (sqrt x)) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
Compiled 5 132 to 1 709 computations (66.7% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 297 | 1 | 298 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 298 | 12 | 310 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 6.7% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ✓ | 98.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) |
| 24.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) #s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))) x)) | |
| 99.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) | |
| 99.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) | |
| ✓ | 97.9% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| 30.2% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x)) | |
| ✓ | 97.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| ✓ | 98.0% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| ✓ | 21.6% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
| ✓ | 23.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
Compiled 556 to 413 computations (25.7% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) #s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
2 calls:
| 6.0ms | x |
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.2% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
2 calls:
| 5.0ms | x |
| 3.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.1% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
2 calls:
| 11.0ms | x |
| 3.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.0% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 98.0% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 97.8% | 1 | x |
Compiled 7 to 7 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.6% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 1.6% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| 1× | fuel |
Compiled 68 to 44 computations (35.3% saved)
Compiled 87 to 62 computations (28.7% saved)
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