
Time bar (total: 4.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 3 |
| 80% | 50% | 12.5% | 0% | 0% | 37.5% | 0% | 4 |
| 88.9% | 50% | 6.2% | 0% | 0% | 43.7% | 0% | 5 |
| 94.1% | 50% | 3.1% | 0% | 0% | 46.9% | 0% | 6 |
| 97% | 50% | 1.6% | 0% | 0% | 48.4% | 0% | 7 |
| 98.5% | 50% | 0.8% | 0% | 0% | 49.2% | 0% | 8 |
| 99.2% | 50% | 0.4% | 0% | 0% | 49.6% | 0% | 9 |
| 99.6% | 50% | 0.2% | 0% | 0% | 49.8% | 0% | 10 |
| 99.8% | 50% | 0.1% | 0% | 0% | 49.9% | 0% | 11 |
| 99.9% | 50% | 0% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 804.0ms | 4 148× | 1 | valid |
| 365.0ms | 4 108× | 0 | valid |
| 0.0ms | 4× | 0 | invalid |
ival-sqrt: 447.0ms (59.8% of total)adjust: 169.0ms (22.6% of total)ival-add!: 102.0ms (13.7% of total)ival-sub!: 29.0ms (3.9% of total)Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 22 | 26 |
| 2 | 28 | 26 |
| 3 | 56 | 26 |
| 4 | 253 | 24 |
| 5 | 2411 | 24 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.3% | (-.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)) |
| 2.0ms | 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 | 458 | 513 |
| 0 | 2879 | 483 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 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)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.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 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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 (pow.f64 x #s(literal -5/2 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) (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.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 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (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 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (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 (+ x 1) x) |
#s(approx (+ x 1) (+.f64 #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)) (/.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))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 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) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (-.f64 (*.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))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.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)))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.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))))))) |
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
Compiled 433 to 197 computations (54.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 9 | 49 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 40 | 10 | 50 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
| ✓ | 50.3% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 50.2% | (-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) | |
| 3.5% | (-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) | |
| ▶ | 46.5% | (-.f64 #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))) (sqrt.f64 x)) |
| ▶ | 46.3% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| 53.7% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 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) (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)) | |
| ▶ | 53.4% | #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)) |
| 55.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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)) | |
| ▶ | 55.3% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
Compiled 246 to 238 computations (3.3% saved)
| Inputs |
|---|
#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)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
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 #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))) (sqrt.f64 x)) |
#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))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/8 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))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
| 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)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#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 (+ 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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 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 (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (sqrt x))) |
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4))) |
#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 (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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)))) |
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x))) |
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8)))) |
#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)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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 (+ 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) #s(hole binary64 (* -1 (* (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 (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))))) |
#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)))))))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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 (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (sqrt (+ x 1)) (+ x 1) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4) |
| 24.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (sqrt (+ x 1)) (+ x 1) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4) |
| 23.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* (+ (* -1/8 x) 1/2) x) 1) (+ (* -1/8 x) 1/2) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (sqrt (+ x 1)) (+ x 1) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 1747 |
| 0 | 289 | 1444 |
| 0 | 715 | 1304 |
| 0 | 4125 | 1242 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#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)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
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 #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))) (sqrt.f64 x)) |
#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))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/8 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))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
#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)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#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 (+ 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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 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 (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (sqrt x))) |
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4))) |
#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 (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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8)))) |
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x))) |
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8)))) |
#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)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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 (+ 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) #s(hole binary64 (* -1 (* (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 (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x))))))) |
#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)))))))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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 (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 x))) (fabs.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
x |
#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)) |
(+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #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 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 #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))) (sqrt.f64 x))) |
(/.f64 (-.f64 (pow.f64 #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(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #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 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #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))) (sqrt.f64 x))))) |
(-.f64 #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))) (sqrt.f64 x)) |
(+.f64 #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))) (neg.f64 (sqrt.f64 x))) |
#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))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))))) |
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal -1/8 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) |
#s(literal -1/8 binary64) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
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(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
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(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
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(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
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(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
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(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
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(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(+.f64 #s(literal 1 binary64) x) |
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(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
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(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) |
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(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
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(pow.f64 x #s(literal 1/4 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64))) |
#s(literal 1/4 binary64) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (* (/ 1 (sqrt x)) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (* (pow x 1/4) (pow x 1/4)) (sqrt.f64 x)) |
#s(approx x 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 (+ (* (+ (* -1/8 x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* -1/8 x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (* (pow x 1/4) (pow x 1/4)) (sqrt.f64 x)) |
#s(approx (pow x 1/4) (pow.f64 x #s(literal 1/4 binary64))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 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) (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.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 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (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 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (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 (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x)) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 1) (*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/8 binary64)) x) x)) |
#s(approx (+ (* -1/8 x) 1/2) (*.f64 #s(literal -1/8 binary64) x)) |
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 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) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (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)))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (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)))) (neg.f64 x))) |
#s(approx (* (pow x 1/4) (pow x 1/4)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (-.f64 (*.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))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.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)))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.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))))))) |
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (neg.f64 x) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (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)))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (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)))) (neg.f64 x))) |
#s(approx (* (pow x 1/4) (pow x 1/4)) (sqrt.f64 x)) |
#s(approx (pow x 1/4) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))) |
Compiled 2 779 to 1 144 computations (58.8% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 10 | 321 |
| Fresh | 3 | 1 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 316 | 15 | 331 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))) | |
| ▶ | 49.9% | (fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
| ✓ | 50.2% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
| ✓ | 50.3% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 50.2% | (-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
| ✓ | 46.5% | (-.f64 #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))) (sqrt.f64 x)) |
| ✓ | 46.3% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| 53.7% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 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) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) | |
| 55.1% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) | |
| 53.4% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) | |
| ▶ | 55.3% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| ▶ | 53.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
| 55.5% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| ▶ | 55.5% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| 53.2% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
Compiled 409 to 372 computations (9% saved)
| Inputs |
|---|
#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) |
x |
#s(literal 1/2 binary64) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (sqrt.f64 x)) |
(neg.f64 (sqrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
| 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 (/ 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 x #s(hole binary64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 1)) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 1)) |
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (/ (+ 1 x) x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* -1 (sqrt x))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* 1/2 x))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* x (+ 1/2 (* -1/8 x))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) |
#s(approx (sqrt (sqrt x)) #s(hole binary64 (pow (* 1 x) 1/4))) |
#s(approx (neg (sqrt (sqrt x))) #s(hole binary64 (* -1 (pow (* 1 x) 1/4)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ 1 x) #s(hole binary64 1)) |
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (* 1/2 (sqrt (sqrt x))) #s(hole binary64 (* 1/2 (pow (* 1 x) 1/4)))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (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 (/ (+ (* -1/8 (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)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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 (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (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 (* (+ (/ 1 x) 1) x)) (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 (* (+ (/ 1 x) 1) x)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #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 (* (+ (/ 1 x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (+ (/ 1 x) 1) #s(hole binary64 1)) |
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (+ 1 (/ 1 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (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 (sqrt (+ 1 x)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x) #s(hole binary64 x)) |
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt 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 (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (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 (* (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 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))) x)))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -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 (sqrt x)) #s(hole binary64 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))) |
#s(approx (neg (sqrt (sqrt x))) #s(hole binary64 (* -1 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) #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 (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt 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 (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt 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 (sqrt x))) #s(hole binary64 (* 1/2 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) (sqrt (* (+ (/ 1 x) 1) x)) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1) (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (sqrt (sqrt x)) (neg (sqrt (sqrt x))) (sqrt (+ 1 x)) (+ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) (* 1/2 (sqrt (sqrt x))) (/ -1/8 (sqrt x)) -1/8) |
| 12.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) (sqrt (* (+ (/ 1 x) 1) x)) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1) (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (sqrt (sqrt x)) (neg (sqrt (sqrt x))) (sqrt (+ 1 x)) (+ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) (* 1/2 (sqrt (sqrt x))) (/ -1/8 (sqrt x)) -1/8) |
| 9.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) (sqrt (* (+ (/ 1 x) 1) x)) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1) (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (sqrt (sqrt x)) (neg (sqrt (sqrt x))) (sqrt (+ 1 x)) (+ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) (* 1/2 (sqrt (sqrt x))) (/ -1/8 (sqrt x)) -1/8) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 365 | 3004 |
| 0 | 405 | 2511 |
| 0 | 1064 | 2001 |
| 0 | 6914 | 1889 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#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) |
x |
#s(literal 1/2 binary64) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (sqrt.f64 x)) |
(neg.f64 (sqrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
#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 (/ 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 x #s(hole binary64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 1)) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 1)) |
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (/ (+ 1 x) x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* -1 (sqrt x))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* 1/2 x))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* x (+ 1/2 (* -1/8 x))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) |
#s(approx (sqrt (sqrt x)) #s(hole binary64 (pow (* 1 x) 1/4))) |
#s(approx (neg (sqrt (sqrt x))) #s(hole binary64 (* -1 (pow (* 1 x) 1/4)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ 1 x) #s(hole binary64 1)) |
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (* 1/2 (sqrt (sqrt x))) #s(hole binary64 (* 1/2 (pow (* 1 x) 1/4)))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (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 (/ (+ (* -1/8 (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)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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 (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (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 (* (+ (/ 1 x) 1) x)) (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 (* (+ (/ 1 x) 1) x)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #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 (* (+ (/ 1 x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (+ (/ 1 x) 1) #s(hole binary64 1)) |
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (+ 1 (/ 1 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (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 (sqrt (+ 1 x)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x) #s(hole binary64 x)) |
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt 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 (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (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 (* (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 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)))) |
#s(approx (- (sqrt (* (+ (/ 1 x) 1) x)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))) x)))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (* (+ (/ 1 x) 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -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 (sqrt x)) #s(hole binary64 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))) |
#s(approx (neg (sqrt (sqrt x))) #s(hole binary64 (* -1 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) #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 (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt 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 (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt 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 (sqrt x))) #s(hole binary64 (* 1/2 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))))) |
| Outputs |
|---|
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal -1 binary64) (*.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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (neg.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)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
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(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 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 (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 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))) |
(-.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))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal -1/8 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) |
#s(literal -1/8 binary64) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#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 x x) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 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) (sqrt.f64 x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 x)) (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 (+ 1 x) #s(literal 1 binary64)) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (/ 1 x) 1) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (sqrt (sqrt x)) (sqrt.f64 (sqrt.f64 x))) |
#s(approx (neg (sqrt (sqrt x))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 x)) (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 (+ 1 x) #s(literal 1 binary64)) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -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))) (*.f64 x x))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (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 (* 1/2 (sqrt (sqrt x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (/ -1/8 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (/.f64 (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 (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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (/.f64 (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 (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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (/.f64 (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 (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 (+ 1 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ 1 x)) (*.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 (+ 1 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (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 (+ 1 x)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (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 (+ 1 x) x) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (/ 1 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (/ 1 x) 1) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) #s(literal 0 binary64)) x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) #s(literal 0 binary64)) x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) #s(literal 0 binary64)) x)) |
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ 1 x)) (*.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 (+ 1 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (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 (+ 1 x)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (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 (+ 1 x) x) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt 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 (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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))) (neg.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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)))) (neg.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64) (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -5/2 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))))) (neg.f64 x))) |
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (sqrt (/ 1 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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))) (neg.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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)))) (neg.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64) (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -5/2 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))))) (neg.f64 x))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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))) (neg.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 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)))) (neg.f64 x))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64) (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -5/2 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))))) (neg.f64 x))) |
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (*.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))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.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)))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.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))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) #s(literal 0 binary64)))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) #s(literal 0 binary64))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) #s(literal 0 binary64))))) |
#s(approx (sqrt (sqrt x)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 x))))) |
#s(approx (neg (sqrt (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 x))))) |
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (*.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))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.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)))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.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))))))) |
#s(approx (/ (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt 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 (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (* 1/2 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ -1/8 (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))))) |
#s(approx (* 1/2 (sqrt (sqrt x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 x))))) |
Compiled 3 442 to 1 186 computations (65.5% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 327 | 4 | 331 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 330 | 16 | 346 |
| Status | Accuracy | Program |
|---|---|---|
| 50.0% | (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) | |
| ✓ | 50.3% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 50.0% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) |
| ✓ | 50.2% | (-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
| ✓ | 46.5% | (-.f64 #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))) (sqrt.f64 x)) |
| ✓ | 46.3% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| 53.7% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 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) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) | |
| ▶ | 55.1% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
| ▶ | 53.4% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
| 55.1% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) | |
| ✓ | 55.3% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| ✓ | 53.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
| ▶ | 55.5% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| ✓ | 55.5% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| 53.2% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) | |
| ▶ | 3.5% | #s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
Compiled 413 to 373 computations (9.7% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal 0 binary64) x) |
#s(literal 0 binary64) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 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 -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) |
(neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(neg.f64 (sqrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 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) |
| 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) (* 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 (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* -1 (sqrt x))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* 1/2 x))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* x (+ 1/2 (* -1/8 x))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) |
#s(approx (* 0 x) #s(hole binary64 0)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ 1 x) #s(hole binary64 1)) |
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x))) |
#s(approx (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) #s(hole binary64 (sqrt x))) |
#s(approx (neg (neg (sqrt (sqrt x)))) #s(hole binary64 (pow (* 1 x) 1/4))) |
#s(approx (neg (sqrt (sqrt x))) #s(hole binary64 (* -1 (pow (* 1 x) 1/4)))) |
#s(approx (sqrt (sqrt x)) #s(hole binary64 (pow (* 1 x) 1/4))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (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)) (/ -1/8 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (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 (- (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) (* 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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (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 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* 1/2 (sqrt 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)) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (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 (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (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 (+ 1 x)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x) #s(hole binary64 x)) |
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (- (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) (* 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)))))))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -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 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* 1/2 (sqrt 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)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt 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 (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (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 (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (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 (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) #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 (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (neg (neg (sqrt (sqrt x)))) #s(hole binary64 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))) |
#s(approx (neg (sqrt (sqrt x))) #s(hole binary64 (* -1 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))))) |
#s(approx (sqrt (sqrt x)) #s(hole binary64 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (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)) (/ -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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (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 (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (* 0 x) 0 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) (sqrt (+ 1 x)) (+ 1 x) 1 (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) (neg (neg (sqrt (sqrt x)))) (neg (sqrt (sqrt x))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16) |
| 13.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (* 0 x) 0 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) (sqrt (+ 1 x)) (+ 1 x) 1 (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) (neg (neg (sqrt (sqrt x)))) (neg (sqrt (sqrt x))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16) |
| 9.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (* 0 x) 0 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) (sqrt (+ 1 x)) (+ 1 x) 1 (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) (neg (neg (sqrt (sqrt x)))) (neg (sqrt (sqrt x))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 383 | 3697 |
| 0 | 422 | 2959 |
| 0 | 1089 | 2476 |
| 0 | 6772 | 2392 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal 0 binary64) x) |
#s(literal 0 binary64) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 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 -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) |
(neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(neg.f64 (sqrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 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) |
#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) (* 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 (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* -1 (sqrt x))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* 1/2 x))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* x (+ 1/2 (* -1/8 x))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt x)) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))) |
#s(approx (* 0 x) #s(hole binary64 0)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ 1 x) #s(hole binary64 1)) |
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x))) |
#s(approx (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) #s(hole binary64 (sqrt x))) |
#s(approx (neg (neg (sqrt (sqrt x)))) #s(hole binary64 (pow (* 1 x) 1/4))) |
#s(approx (neg (sqrt (sqrt x))) #s(hole binary64 (* -1 (pow (* 1 x) 1/4)))) |
#s(approx (sqrt (sqrt x)) #s(hole binary64 (pow (* 1 x) 1/4))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3)))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (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)) (/ -1/8 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (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 (- (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) (* 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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1 (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 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* 1/2 (sqrt 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)) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (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 (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (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 (+ 1 x)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x) #s(hole binary64 x)) |
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (- (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) (* 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)))))))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -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 (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -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 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #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)) (* (pow x 1/4) (pow x 1/4))) #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)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* 1/2 (sqrt 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)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt 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 (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (sqrt (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (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 (+ 1 x)) (* (neg (neg (sqrt (sqrt x)))) (sqrt (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 (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ 1 x)) #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 (+ 1 x)) #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 (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (neg (neg (sqrt (sqrt x)))) #s(hole binary64 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))) |
#s(approx (neg (sqrt (sqrt x))) #s(hole binary64 (* -1 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))))) |
#s(approx (sqrt (sqrt x)) #s(hole binary64 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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 (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (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)) (/ -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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (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 (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) x) |
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x)) |
(/.f64 #s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(neg.f64 (/.f64 #s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
x |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) x) |
(/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/16 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x)))) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x)))) #s(literal -1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64)) (-.f64 (*.f64 #s(literal -1/2 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 -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))))) |
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 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 -1/8 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 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)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))))) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x)))) |
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal -3/2 binary64)) |
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(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) x) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) |
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
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(pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64))) |
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) (*.f64 (fabs.f64 x) (sqrt.f64 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 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(*.f64 x x) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 1/16 binary64) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) (sqrt.f64 x)) |
#s(approx x x) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (* 0 x) #s(literal 0 binary64)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ -1/8 (sqrt x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 x)) (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 (+ 1 x) #s(literal 1 binary64)) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) (sqrt.f64 x)) |
#s(approx (neg (neg (sqrt (sqrt x)))) (sqrt.f64 (sqrt.f64 x))) |
#s(approx (neg (sqrt (sqrt x))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) |
#s(approx (neg (neg (sqrt (sqrt x)))) (sqrt.f64 (sqrt.f64 x))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 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 x x) x))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 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 x x))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 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 (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) |
#s(approx (/ (+ (* 1/2 (sqrt 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)) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt 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) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) #s(literal 0 binary64)) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64))) #s(literal 0 binary64)) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64)))) #s(literal 0 binary64)) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) |
#s(approx (/ (+ (* 1/2 (sqrt 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)) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt 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) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) |
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ 1 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ 1 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (sqrt (+ 1 x)) (*.f64 x (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (+ 1 x) x) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) 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)) (/ -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) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt 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) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64))) x)) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64)))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x))) |
#s(approx (/ (+ (* 1/2 (sqrt 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)) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/8 binary64))))) |
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) #s(literal 0 binary64))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) #s(literal 0 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (neg.f64 x) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64) #s(literal 0 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x))) |
#s(approx (/ (+ (* 1/2 (sqrt 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)) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/8 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 x))) |
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/8 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (* (neg (neg (sqrt (sqrt x)))) (sqrt (sqrt x))) (sqrt.f64 x)) |
#s(approx (neg (neg (sqrt (sqrt x)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 x))))) |
#s(approx (neg (sqrt (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 x))))) |
#s(approx (neg (neg (sqrt (sqrt x)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (sqrt.f64 x))))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) 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)) (/ -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) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/8 binary64))))) |
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) x)) |
#s(approx (sqrt (/ 1 (* (* x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x)))) |
Compiled 5 528 to 1 855 computations (66.4% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 432 | 6 | 438 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 6 | 7 |
| Total | 437 | 17 | 454 |
| Status | Accuracy | Program |
|---|---|---|
| 50.0% | (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) | |
| ✓ | 50.3% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 50.0% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) | |
| ✓ | 50.2% | (-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
| ✓ | 46.5% | (-.f64 #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))) (sqrt.f64 x)) |
| ✓ | 46.3% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| 54.7% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) | |
| 55.1% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) | |
| ✓ | 53.4% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
| 53.7% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) | |
| 55.1% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) | |
| ✓ | 55.3% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| 3.5% | #s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) | |
| ✓ | 55.5% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| ✓ | 55.5% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| 53.2% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) | |
| 26.4% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))) |
Compiled 588 to 385 computations (34.5% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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) (* 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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) |
(-.f64 #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))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 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) (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 (fma.f64 (pow.f64 x #s(literal -5/2 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) (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)) |
| Outputs |
|---|
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)) |
2 calls:
| 16.0ms | x |
| 6.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.8% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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) (* 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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) |
(-.f64 #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))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))) |
| Outputs |
|---|
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
2 calls:
| 12.0ms | x |
| 5.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.7% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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) (* 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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) |
(-.f64 #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))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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)) (* (pow x 1/4) (pow x 1/4))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
2 calls:
| 7.0ms | x |
| 5.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.7% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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) (* 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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) |
(-.f64 #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))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)) |
2 calls:
| 17.0ms | x |
| 5.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.7% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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) (* 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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) |
(-.f64 #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))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) 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)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 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 |
|---|---|---|
| 99.5% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.5% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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) (* 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)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) |
(-.f64 #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))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
2 calls:
| 6.0ms | x |
| 3.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.2% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.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) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| Outputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 97.8% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 97.6% | 2 | x |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
(-.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 |
|---|---|---|
| 46.3% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 46.3% | 1 | x |
Compiled 7 to 7 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
#s(approx (+ (* (sqrt (sqrt x)) (neg (sqrt (sqrt x)))) (sqrt (+ 1 x))) (*.f64 #s(literal 0 binary64) x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (* (pow x 1/4) (pow x 1/4))) #s(literal 0 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.5% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 3.5% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 787.0591279673521 | 13982.747082528613 |
| 4.0ms | 112× | 0 | valid |
Compiled 276 to 255 computations (7.6% saved)
ival-sqrt: 1.0ms (48.4% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 787.0591279673521 | 13982.747082528613 |
| 3.0ms | 80× | 0 | valid |
| 1.0ms | 16× | 1 | valid |
Compiled 248 to 234 computations (5.6% saved)
ival-sqrt: 1.0ms (44.4% of total)adjust: 0.0ms (0% of total)ival-sub!: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 787.0591279673521 | 13982.747082528613 |
| 2.0ms | 48× | 0 | valid |
Compiled 220 to 220 computations (0% saved)
ival-sqrt: 1.0ms (112.7% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 787.0591279673521 | 13982.747082528613 |
Compiled 220 to 213 computations (3.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 13982.747082528613 | 426685.1448097889 |
| 8.0ms | 112× | 1 | valid |
Compiled 171 to 171 computations (0% saved)
ival-sqrt: 3.0ms (59.8% of total)adjust: 1.0ms (19.9% of total)ival-sub!: 1.0ms (19.9% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 497956.98837051605 | 1627849067426.5786 |
| 12.0ms | 144× | 1 | valid |
Compiled 172 to 190 computations (-10.5% saved)
ival-sqrt: 6.0ms (65% of total)adjust: 2.0ms (21.7% of total)ival-sub!: 1.0ms (10.8% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.022240032008715577 | 3.018643652177829 |
| 4.0ms | 112× | 0 | valid |
Compiled 150 to 164 computations (-9.3% saved)
ival-sqrt: 1.0ms (44.7% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.022240032008715577 | 3.018643652177829 |
Compiled 157 to 164 computations (-4.5% saved)
| 1× | fuel |
Compiled 133 to 78 computations (41.4% saved)
Compiled 139 to 84 computations (39.6% saved)
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