
Time bar (total: 1.9s)
| 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 |
| 83.3% | 62.5% | 12.5% | 0% | 0% | 25% | 0% | 4 |
| 91.7% | 68.7% | 6.2% | 0% | 0% | 25% | 0% | 5 |
| 95.8% | 71.8% | 3.1% | 0% | 0% | 25% | 0% | 6 |
| 97.9% | 73.4% | 1.6% | 0% | 0% | 25% | 0% | 7 |
| 99% | 74.2% | 0.8% | 0% | 0% | 25% | 0% | 8 |
| 99.5% | 74.6% | 0.4% | 0% | 0% | 25% | 0% | 9 |
| 99.7% | 74.8% | 0.2% | 0% | 0% | 25% | 0% | 10 |
| 99.9% | 74.9% | 0.1% | 0% | 0% | 25% | 0% | 11 |
| 99.9% | 74.9% | 0% | 0% | 0% | 25% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 550.0ms | 8 251× | 0 | valid |
| 1.0ms | 5× | 2 | valid |
| 0.0ms | 4× | 0 | invalid |
ival-add!: 158.0ms (55.8% of total)ival-sqrt: 64.0ms (22.6% of total)ival-div!: 59.0ms (20.8% of total)adjust: 2.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 23.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 58 to 22 computations (62.1% saved)
ival-sqrt: 4.0ms (40% of total)ival-add!: 3.0ms (30% of total)ival-div!: 3.0ms (30% of total)adjust: 0.0ms (0% of total)Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 24 | 27 |
| 2 | 34 | 27 |
| 3 | 60 | 27 |
| 4 | 138 | 27 |
| 5 | 597 | 24 |
| 6 | 5534 | 24 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
x |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#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 (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1)) |
| 2.0ms | x | @ | inf | ((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1)) |
| 1.0ms | x | @ | 0 | ((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 968 |
| 0 | 215 | 773 |
| 0 | 1342 | 741 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
x |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#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 (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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))))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(/.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) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx x x) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (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 2 binary64))) |
#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 (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))) |
Compiled 1 042 to 281 computations (73% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 12 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 48 | 13 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| 34.1% | (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) | |
| 89.9% | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) | |
| ✓ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 99.4% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) |
| 36.5% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) | |
| ▶ | 68.6% | (/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
| ▶ | 69.7% | (/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
| 31.2% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) | |
| 68.4% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) | |
| 69.3% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) | |
| ▶ | 67.8% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
| ▶ | 69.1% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
| 32.2% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
Compiled 400 to 270 computations (32.5% saved)
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) |
x |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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) |
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#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 (* (+ (pow x -1) 1) x) #s(hole binary64 1)) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ (+ 1 x) x))) |
#s(approx (pow x -1) #s(hole binary64 (/ 1 x))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 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 (+ (* 1/2 x) 2) #s(hole binary64 2)) |
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (+ (pow x -1) 1) #s(hole binary64 1)) |
#s(approx (+ (pow x -1) 1) #s(hole binary64 (+ 1 (/ 1 x)))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 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 (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2)) |
| 2.0ms | x | @ | inf | ((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2)) |
| 1.0ms | x | @ | 0 | ((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 1462 |
| 0 | 292 | 1243 |
| 0 | 1573 | 1216 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) |
x |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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) |
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/8 binary64) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#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 (* (+ (pow x -1) 1) x) #s(hole binary64 1)) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ (+ 1 x) x))) |
#s(approx (pow x -1) #s(hole binary64 (/ 1 x))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 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 (+ (* 1/2 x) 2) #s(hole binary64 2)) |
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (+ (pow x -1) 1) #s(hole binary64 1)) |
#s(approx (+ (pow x -1) 1) #s(hole binary64 (+ 1 (/ 1 x)))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 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 (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)))) |
(/.f64 x (+.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))) |
(+.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) |
#s(literal 1 binary64) |
(pow.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal -1 binary64)) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 #s(literal -1/8 binary64) x))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/8 binary64) x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 #s(literal -1/8 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 (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))))) |
(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 #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) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 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 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 4 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 2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))) |
(/.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 8 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 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 8 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 4 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 2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(-.f64 #s(literal 2 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 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx x x) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (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 2 binary64))) |
#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 (* (+ (pow x -1) 1) x) #s(literal 1 binary64)) |
#s(approx (* (+ (pow x -1) 1) x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (pow x -1) 1) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (+ (pow x -1) 1) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#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 (+ (* 1/2 x) 2) #s(literal 2 binary64)) |
#s(approx (+ (* 1/2 x) 2) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(literal 2 binary64)) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (pow x -1) 1) x) x) |
#s(approx (* (+ (pow x -1) 1) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (+ (pow x -1) 1) #s(literal 1 binary64)) |
#s(approx (+ (pow x -1) 1) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) |
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 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 (+ (* 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))) |
#s(approx (+ (* -1/8 x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
Compiled 3 663 to 697 computations (81% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 180 | 3 | 183 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 182 | 14 | 196 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.1% | (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
| 89.9% | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) | |
| ✓ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ▶ | 99.4% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) |
| ▶ | 36.5% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))))) |
| ✓ | 68.6% | (/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
| ✓ | 69.7% | (/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
| ▶ | 67.8% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
| 31.2% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) | |
| 68.4% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) | |
| 69.3% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) | |
| ✓ | 67.8% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
| ✓ | 69.1% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
| ▶ | 32.2% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
Compiled 394 to 260 computations (34% saved)
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) |
x |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) |
#s(approx (+ x 1) (*.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)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x) |
(*.f64 #s(literal -1/8 binary64) x) |
#s(literal -1/8 binary64) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))) |
(sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))) |
#s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)) |
#s(approx (* (+ (pow x -1) 1) x) x) |
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (* (+ (/ 1 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 (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (* (* -1/8 x) x) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x))) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 1)) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 2)) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 x))) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 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 (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (* (+ (/ 1 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 (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)))) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (sqrt x)))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ 1 (+ (sqrt x) (* -1 (/ (+ (* 1/2 (pow x 2)) (* (sqrt x) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 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 (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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 (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt x) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) 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 (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) 1/2 (* (* -1/8 x) x) (* -1/8 x) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (- 1 (sqrt (+ 1 x)))) |
| 3.0ms | x | @ | inf | ((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) 1/2 (* (* -1/8 x) x) (* -1/8 x) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (- 1 (sqrt (+ 1 x)))) |
| 2.0ms | x | @ | 0 | ((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) 1/2 (* (* -1/8 x) x) (* -1/8 x) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (- 1 (sqrt (+ 1 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 421 | 3004 |
| 0 | 450 | 2206 |
| 0 | 2333 | 2132 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) |
x |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) |
#s(approx (+ x 1) (*.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)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x) |
(*.f64 #s(literal -1/8 binary64) x) |
#s(literal -1/8 binary64) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))) |
(sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))) |
#s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)) |
#s(approx (* (+ (pow x -1) 1) x) x) |
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (* (+ (/ 1 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 (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (* (* -1/8 x) x) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x))) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 1)) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 2)) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 x))) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 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 (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (* (+ (/ 1 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 (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8)))) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (sqrt x)))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ 1 (+ (sqrt x) (* -1 (/ (+ (* 1/2 (pow x 2)) (* (sqrt x) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 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 (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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 (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))))) |
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt x) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) 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 (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)))) |
(/.f64 x (+.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))))) |
(+.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) |
#s(literal 1 binary64) |
(pow.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal -1 binary64)) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))))) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
(fma.f64 x (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) x)) x)) |
(+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) #s(literal -1/8 binary64)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x) |
(*.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal -1/8 binary64) x)) |
(*.f64 #s(literal -1/8 binary64) x) |
(*.f64 x #s(literal -1/8 binary64)) |
#s(literal -1/8 binary64) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) #s(literal 1 binary64)))) |
(/.f64 x (+.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))))))) |
(+.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x)))) |
(pow.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) |
#s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x)) |
#s(approx (* (+ (pow x -1) 1) x) x) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 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) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 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) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx x x) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (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 2 binary64))) |
#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 x) #s(literal 1 binary64)) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (* (+ (pow x -1) 1) x) #s(literal 1 binary64)) |
#s(approx (* (+ (pow x -1) 1) x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (/ 1 x) 1) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (+ (/ 1 x) 1) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (* (* -1/8 x) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
#s(approx (* -1/8 x) (*.f64 #s(literal -1/8 binary64) x)) |
#s(approx (* (+ (pow x -1) 1) x) #s(literal 1 binary64)) |
#s(approx (* (+ (pow x -1) 1) x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64)) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (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 2 binary64))) |
#s(approx (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (neg.f64 x)) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) 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 x) #s(literal 1 binary64)) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))))))) |
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ 1 x) x) |
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (pow x -1) 1) x) x) |
#s(approx (* (+ (pow x -1) 1) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (+ (/ 1 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (/ 1 x) 1) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) |
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (* (+ (pow x -1) 1) x) x) |
#s(approx (* (+ (pow x -1) 1) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x)) |
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x))))) |
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))) |
#s(approx (+ 1 x) x) |
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ 1 x) x) |
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/8 binary64) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (sqrt.f64 x))) |
#s(approx (+ 1 (sqrt (+ x 1))) (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x))) x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) x)) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.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(literal -1 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
Compiled 4 435 to 815 computations (81.6% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 1 | 209 |
| Fresh | 0 | 4 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 210 | 13 | 223 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.9% | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
| ✓ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | 36.5% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))))) |
| ✓ | 68.6% | (/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
| ✓ | 69.7% | (/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
| ▶ | 33.8% | (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 67.8% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
| ▶ | 31.2% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
| ▶ | 68.4% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
| ▶ | 69.3% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
| ✓ | 67.8% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
| ✓ | 69.1% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 32.2% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
Compiled 304 to 203 computations (33.2% saved)
| Inputs |
|---|
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
x |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 3 binary64) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/16 binary64) x) |
#s(literal 1/16 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) |
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) |
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) |
#s(literal -5/128 binary64) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 2)) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 2)) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* 3/2 x)))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x)))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x)))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1)) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x)))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x)))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 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 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 1)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x)))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* 1/8 x))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))))))) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 1)) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x)))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 -1/8)) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8))) |
#s(approx (* 1/16 x) #s(hole binary64 (* 1/16 x))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8)) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x))))) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16)) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x)))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx (/ x (- 1 (+ 1 x))) #s(hole binary64 -1)) |
#s(approx (- 1 (+ 1 x)) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2)))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3)))))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2)))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))) |
#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 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (sqrt (/ 1 x)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (sqrt (/ 1 x)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (sqrt x))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (* 1 (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 (* 1 (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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x))) |
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3)))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2)))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))))) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* 1/16 x))) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2)))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* -5/128 (pow x 2)))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x))) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#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 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x))))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* 1 (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 (* 1 (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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) 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 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x))))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x))))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x))))))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128)))) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x))))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (+ 1 (pow (sqrt (+ 1 x)) 3)) 1 (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (/ x (- 1 (+ 1 x))) (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) |
| 8.0ms | x | @ | inf | ((/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (+ 1 (pow (sqrt (+ 1 x)) 3)) 1 (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (/ x (- 1 (+ 1 x))) (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) |
| 2.0ms | x | @ | 0 | ((/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (+ 1 (pow (sqrt (+ 1 x)) 3)) 1 (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (/ x (- 1 (+ 1 x))) (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 815 | 6660 |
| 0 | 865 | 4967 |
| 0 | 4622 | 4825 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
x |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 3 binary64) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 x) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/16 binary64) x) |
#s(literal 1/16 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) |
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) |
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) |
#s(literal -5/128 binary64) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 2)) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* 1/2 x)))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 2)) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* 3/2 x)))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x)))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x)))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1)) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x)))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x)))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 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 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 1)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x)))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* 1/8 x))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))))))) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 1)) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x)))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 -1/8)) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8))) |
#s(approx (* 1/16 x) #s(hole binary64 (* 1/16 x))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8)) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x))))) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16)) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x)))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))) |
#s(approx (/ x (- 1 (+ 1 x))) #s(hole binary64 -1)) |
#s(approx (- 1 (+ 1 x)) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2)))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3)))))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2)))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))) |
#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 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (sqrt (/ 1 x)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (sqrt (/ 1 x)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (sqrt x))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (* 1 (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 (* 1 (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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x))) |
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3)))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2)))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x)))))) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* 1/16 x))) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2)))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2))))))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* -5/128 (pow x 2)))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x))) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128)))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#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 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x))))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* 1 (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 (* 1 (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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) 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 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16))))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))) |
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16))))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x))))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x))))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x))))))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128)))) |
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x))))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
x |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))))) |
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) |
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) |
(*.f64 x (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) |
(fma.f64 #s(literal 1/16 binary64) x (*.f64 (*.f64 #s(literal -5/128 binary64) x) x)) |
(fma.f64 #s(literal 1/16 binary64) x (*.f64 x (*.f64 #s(literal -5/128 binary64) x))) |
(fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x)) |
(fma.f64 x #s(literal 1/16 binary64) (*.f64 x (*.f64 #s(literal -5/128 binary64) x))) |
(+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x)) |
(+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 x (*.f64 #s(literal -5/128 binary64) x))) |
(/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) #s(literal 1/256 binary64)) (-.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64))) |
(/.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/256 binary64) (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64))))) |
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) |
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64)) |
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x)) |
(+.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)) |
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)) |
#s(literal -5/128 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 x (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx x x) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(literal 2 binary64)) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 2 binary64))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(literal 2 binary64)) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 2 binary64))) |
#s(approx (pow (sqrt (+ 1 x)) 3) #s(literal 1 binary64)) |
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(literal 1 binary64)) |
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (* 1 (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 (* 1 (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 (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(literal 1 binary64)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(literal 1 binary64)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (fma.f64 (fma.f64 (fma.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 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(literal 1 binary64)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (* 1 (sqrt (+ 1 x))) #s(literal 1 binary64)) |
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (* 1 (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 (* 1 (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 (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (- (sqrt x) 1) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (- (* 1/16 x) 1/8) #s(literal -1/8 binary64)) |
#s(approx (- (* 1/16 x) 1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))) |
#s(approx (* 1/16 x) (*.f64 #s(literal 1/16 binary64) x)) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(literal -1/8 binary64)) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 #s(literal 1/16 binary64) x)) |
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) |
#s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) |
#s(approx (+ (* -5/128 x) 1/16) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) |
#s(approx (- 1 (+ 1 x)) (neg.f64 x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 x))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))))) x)) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)))))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))) x)) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (pow.f64 x #s(literal 3/2 binary64))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (+.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (pow.f64 x #s(literal 3/2 binary64))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (* 1 (sqrt (+ 1 x))) (sqrt.f64 x)) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/8 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x) |
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (* 1 (sqrt (+ 1 x))) (sqrt.f64 x)) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))))))))) |
#s(approx (- (sqrt x) 1) (sqrt.f64 x)) |
#s(approx (- (sqrt x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x))) |
#s(approx (- (* 1/16 x) 1/8) (*.f64 #s(literal 1/16 binary64) x)) |
#s(approx (- (* 1/16 x) 1/8) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/128 binary64))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -5/128 binary64))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (*.f64 x x) #s(literal -5/128 binary64))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (*.f64 x x))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 (*.f64 x x) #s(literal -5/128 binary64))) |
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (*.f64 x x))) |
#s(approx (+ (* -5/128 x) 1/16) (*.f64 #s(literal -5/128 binary64) x)) |
#s(approx (+ (* -5/128 x) 1/16) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) x)) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (sqrt.f64 x)) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/8 binary64) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) x))) x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -2 binary64))) x) #s(literal -1 binary64) (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) x))) x)))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (/.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64))) x) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))))) |
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))) #s(literal -2 binary64))) x))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 x x))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 x x))) |
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))) (*.f64 x x))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (* 1 (sqrt (+ 1 x))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) x)) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))) |
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.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(literal -1 binary64) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))) |
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.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(literal -1 binary64) #s(literal 1 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))) |
#s(approx (* 1 (sqrt (+ 1 x))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) x) #s(literal -1 binary64) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) |
#s(approx (- (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (- (sqrt x) 1) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/16 binary64)) (*.f64 x x))) |
#s(approx (- (* 1/16 x) 1/8) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/16 binary64)) x) #s(literal -1 binary64) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (*.f64 x x))) |
#s(approx (+ (* -5/128 x) 1/16) (*.f64 (neg.f64 x) (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x))) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.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(literal -1 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
Compiled 16 250 to 2 157 computations (86.7% saved)
14 alts after pruning (3 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 503 | 3 | 506 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 7 | 8 |
| Total | 505 | 14 | 519 |
| Status | Accuracy | Program |
|---|---|---|
| 69.0% | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) | |
| ✓ | 99.7% | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| ✓ | 68.6% | (/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
| ✓ | 69.7% | (/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
| ✓ | 33.8% | (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| 89.9% | (*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| 37.5% | (*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 67.8% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
| ✓ | 31.2% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
| ✓ | 68.4% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
| ✓ | 69.3% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
| ✓ | 67.8% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
| ✓ | 69.1% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | 32.2% | #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
Compiled 581 to 279 computations (52% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))) |
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))) |
| Outputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 99.7% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
2 calls:
| 4.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 99.2% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))))) |
| Outputs |
|---|
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))) |
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
2 calls:
| 5.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 99.0% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 99.0% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
2 calls:
| 2.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.3% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
2 calls:
| 2.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.0% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
2 calls:
| 2.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.0% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
2 calls:
| 2.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.0% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
2 calls:
| 1.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 97.5% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)) |
2 calls:
| 1.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 97.0% | 2 | x |
Compiled 9 to 7 computations (22.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) |
2 calls:
| 1.0ms | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 1 | (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 69.1% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 5.5669157325067204e-5 | 0.029993806696134433 |
| 10.0ms | 128× | 0 | valid |
Compiled 315 to 250 computations (20.6% saved)
ival-sqrt: 1.0ms (44.6% of total)ival-add!: 1.0ms (44.6% of total)ival-div!: 1.0ms (44.6% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 5.5669157325067204e-5 | 0.029993806696134433 |
| 3.0ms | 80× | 0 | valid |
Compiled 267 to 218 computations (18.4% saved)
ival-sqrt: 1.0ms (70.9% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 5.5669157325067204e-5 | 0.029993806696134433 |
| 5.0ms | 96× | 0 | valid |
Compiled 291 to 234 computations (19.6% saved)
ival-div!: 2.0ms (68.1% of total)ival-sqrt: 1.0ms (34% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.029993806696134433 | 38471.52165326778 |
| 5.0ms | 144× | 0 | valid |
Compiled 299 to 244 computations (18.4% saved)
ival-sqrt: 1.0ms (39.9% of total)ival-add!: 1.0ms (39.9% of total)ival-div!: 1.0ms (39.9% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 0.029993806696134433 | 38471.52165326778 |
| 3.0ms | 80× | 0 | valid |
Compiled 245 to 208 computations (15.1% saved)
ival-sqrt: 1.0ms (72.4% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.029993806696134433 | 38471.52165326778 |
Compiled 281 to 226 computations (19.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.029993806696134433 | 38471.52165326778 |
Compiled 263 to 217 computations (17.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 0.029993806696134433 | 38471.52165326778 |
| 2.0ms | 16× | 0 | valid |
Compiled 245 to 199 computations (18.8% saved)
ival-div!: 1.0ms (78.2% of total)adjust: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.029993806696134433 | 38471.52165326778 |
Compiled 218 to 181 computations (17% saved)
| 1× | fuel |
Compiled 326 to 79 computations (75.8% saved)
Compiled 668 to 170 computations (74.6% saved)
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