
Time bar (total: 3.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 3 |
| 87.5% | 21.9% | 3.1% | 75% | 0% | 0% | 0% | 4 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 5 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 6 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 7 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 8 |
| 99.6% | 24.9% | 0.1% | 75% | 0% | 0% | 0% | 9 |
| 99.8% | 24.9% | 0% | 75% | 0% | 0% | 0% | 10 |
| 99.9% | 25% | 0% | 75% | 0% | 0% | 0% | 11 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 13 computations (31.6% saved)
| 919.0ms | 6 146× | 1 | valid |
| 918.0ms | 2 007× | 2 | valid |
| 5.0ms | 103× | 0 | valid |
ival-sqrt: 874.0ms (54.9% of total)adjust: 352.0ms (22.1% of total)ival-div!: 253.0ms (15.9% of total)ival-add!: 77.0ms (4.8% of total)ival-sub!: 37.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)ival-<: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 180 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.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 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (/.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 |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | cancellation | 180 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 180 | 0 |
| - | 0 | 76 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 180 | 0 | 0 |
| - | 0 | 0 | 76 |
| number | freq |
|---|---|
| 0 | 76 |
| 1 | 180 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 110.0ms | 378× | 1 | valid |
| 21.0ms | 126× | 2 | valid |
| 0.0ms | 8× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-sub!: 49.0ms (53.9% of total)ival-sqrt: 17.0ms (18.7% of total)adjust: 12.0ms (13.2% of total)ival-div!: 11.0ms (12.1% of total)ival-add!: 3.0ms (3.3% of total)Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 20 | 38 |
| 2 | 23 | 38 |
| 3 | 45 | 38 |
| 4 | 134 | 38 |
| 5 | 1084 | 35 |
| 6 | 5717 | 35 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 39.2% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1)) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -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 (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (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 | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1)) |
| 2.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1)) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 1066 |
| 0 | 222 | 934 |
| 0 | 1281 | 890 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1)) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -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 (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (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 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (+.f64 (neg.f64 x) (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)) |
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx x x) |
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) |
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 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 x #s(literal 1 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x))) |
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
#s(approx (/ 1 (sqrt (+ x 1))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
Compiled 1 447 to 307 computations (78.8% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 10 | 61 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 52 | 10 | 62 |
| Status | Accuracy | Program |
|---|---|---|
| 39.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| ▶ | 39.1% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 7.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) | |
| 35.6% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) | |
| 26.4% | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 82.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 x x))) | |
| ▶ | 82.8% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x))) |
| ▶ | 81.6% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
| ▶ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| ▶ | 66.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
Compiled 506 to 308 computations (39.1% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal -5 binary64))) |
(pow.f64 x #s(literal -5 binary64)) |
x |
#s(literal -5 binary64) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(sqrt.f64 x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3)))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5))))) |
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x)))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* 1/2 (/ 1 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 1)) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* 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 (* (sqrt x) 1) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1/2 (sqrt x)))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x)))))) |
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x))) |
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#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))))))))) |
#s(approx (* 1 (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 (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)))) |
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* 1 (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 (* 1 (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 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) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | -inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1)))) |
| 10.0ms | x | @ | inf | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1)))) |
| 7.0ms | x | @ | 0 | ((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 703 | 6307 |
| 0 | 769 | 4803 |
| 0 | 4204 | 4659 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal -5 binary64))) |
(pow.f64 x #s(literal -5 binary64)) |
x |
#s(literal -5 binary64) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(sqrt.f64 x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3)))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5))))) |
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x)))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* 1/2 (/ 1 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 1)) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* 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 (* (sqrt x) 1) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1/2 (sqrt x)))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x)))))) |
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x))) |
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#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))))))))) |
#s(approx (* 1 (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 (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)))) |
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* 1 (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 (* 1 (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 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) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
| Outputs |
|---|
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) x) |
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (neg.f64 (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))) |
(-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal -5/2 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal -5 binary64))) |
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -5 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64))) |
x |
#s(literal -5 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 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 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
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(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (+.f64 (neg.f64 x) (sqrt.f64 x)) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (* (sqrt (pow x -5)) -1/2) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) |
#s(approx (sqrt (pow x -5)) (pow.f64 x #s(literal -5/2 binary64))) |
#s(approx (pow x -5) (pow.f64 x #s(literal -5 binary64))) |
#s(approx x x) |
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (* (sqrt x) 1) (sqrt.f64 x)) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x))) |
#s(approx (+ (* 1/4 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/4 x) 1) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (/ 1 (* (* x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) |
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* 1/2 (/ 1 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(literal 1 binary64)) |
#s(approx (* 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 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 1 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 1 binary64))) |
#s(approx (* 1 (sqrt (+ x 1))) #s(literal 1 binary64)) |
#s(approx (* 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 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 1 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 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* (sqrt x) 1) (sqrt.f64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (sqrt.f64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) x)) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1/2 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))))) x)) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/4 binary64))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x)) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) x)) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (+ (* 1/4 x) 1) (*.f64 #s(literal 1/4 binary64) x)) |
#s(approx (+ (* 1/4 x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) x)) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))) (*.f64 x x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (* 1 (sqrt (+ x 1))) (sqrt.f64 x)) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1 (sqrt (+ x 1))) (sqrt.f64 x)) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) x) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/4 binary64)) x)) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) x))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/4 binary64)) x)) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) |
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/4 binary64))) |
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64))) x))) |
#s(approx (* (sqrt (pow x -5)) -1/2) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) |
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) |
#s(approx (* (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/4 binary64))) |
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/4 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))) |
#s(approx (sqrt (/ 1 (* (* x x) x))) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) |
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)) #s(literal -1/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) x))) x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 x)) #s(literal -1/4 binary64))) x)) (fma.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)) #s(literal -1/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) x))) x))) (*.f64 x x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) |
#s(approx (* 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (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) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (* 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (* (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (neg.f64 (neg.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x)) #s(literal -1 binary64)))) |
Compiled 17 878 to 1 981 computations (88.9% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 22 | 389 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 372 | 27 | 399 |
| Status | Accuracy | Program |
|---|---|---|
| 7.2% | (/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 39.6% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 39.1% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 39.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| ▶ | 6.5% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 39.1% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 39.1% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 98.8% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| ▶ | 99.1% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.3% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 96.8% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 7.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) | |
| 26.4% | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 81.6% | #s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| 82.7% | #s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))) | |
| 66.3% | #s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) | |
| 81.6% | #s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)))) | |
| 97.2% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) | |
| 82.5% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 x x))) | |
| 81.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| ▶ | 97.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))) |
| 66.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) | |
| ✓ | 66.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
| ▶ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 98.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
| 32.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))) |
Compiled 1 704 to 1 016 computations (40.4% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(literal -1/8 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(literal -5/128 binary64) |
(pow.f64 x #s(literal -5/2 binary64)) |
#s(literal -5/2 binary64) |
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(literal 1/16 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
(sqrt.f64 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3)))) |
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5))))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x))) |
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2)))) |
#s(approx (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* (/ 1 (sqrt x)) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (/ 1 (sqrt x)) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x))))) |
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 1)) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 1)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1)) |
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x))) |
#s(approx (- (* x x) 1) #s(hole binary64 -1)) |
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1))) |
#s(approx (- x 1) #s(hole binary64 -1)) |
#s(approx (- x 1) #s(hole binary64 (- x 1))) |
#s(approx (* (sqrt x) 1) #s(hole binary64 (sqrt x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (* -1 (sqrt (/ 1 x))))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- 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 (* 1 (sqrt (/ (- (* x x) 1) (- 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 (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- 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 x) 1) (- x 1)) #s(hole binary64 x)) |
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2)))))) |
#s(approx (- x 1) #s(hole binary64 x)) |
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3))))) x)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/4 (sqrt (/ 1 x)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (sqrt (pow x 3))) (* 1/4 (* (sqrt x) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))) x)))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1))))) |
#s(approx (* (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) -1/8 (/ 1 (sqrt x)) 1 (sqrt x) x (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) -5/128 (pow x -5/2) -5/2 (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) 1/16 (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (sqrt x)) 1/2 (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) (/ -1/2 x) -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (- (/ 1 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ (* (/ 1 (sqrt x)) 3/8) x) (* (/ 1 (sqrt x)) 3/8) 3/8 (/ 1/2 (sqrt x)) (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (* (sqrt x) 1)) |
| 6.0ms | x | @ | inf | ((/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) -1/8 (/ 1 (sqrt x)) 1 (sqrt x) x (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) -5/128 (pow x -5/2) -5/2 (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) 1/16 (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (sqrt x)) 1/2 (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) (/ -1/2 x) -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (- (/ 1 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ (* (/ 1 (sqrt x)) 3/8) x) (* (/ 1 (sqrt x)) 3/8) 3/8 (/ 1/2 (sqrt x)) (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (* (sqrt x) 1)) |
| 6.0ms | x | @ | 0 | ((/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) -1/8 (/ 1 (sqrt x)) 1 (sqrt x) x (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) -5/128 (pow x -5/2) -5/2 (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) 1/16 (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (sqrt x)) 1/2 (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) (/ -1/2 x) -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (- (/ 1 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ (* (/ 1 (sqrt x)) 3/8) x) (* (/ 1 (sqrt x)) 3/8) 3/8 (/ 1/2 (sqrt x)) (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (* (sqrt x) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 875 | 8275 |
| 0 | 951 | 6097 |
| 0 | 5171 | 5790 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(literal -1/8 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(literal -5/128 binary64) |
(pow.f64 x #s(literal -5/2 binary64)) |
#s(literal -5/2 binary64) |
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(literal 1/16 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
(sqrt.f64 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3)))) |
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5))))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x))) |
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 (pow x 3))))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2)))) |
#s(approx (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* (/ 1 (sqrt x)) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (/ 1 (sqrt x)) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x))))) |
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 1)) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 1)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1)) |
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x))) |
#s(approx (- (* x x) 1) #s(hole binary64 -1)) |
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1))) |
#s(approx (- x 1) #s(hole binary64 -1)) |
#s(approx (- x 1) #s(hole binary64 (- x 1))) |
#s(approx (* (sqrt x) 1) #s(hole binary64 (sqrt x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (* -1 (sqrt (/ 1 x))))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (sqrt x))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- 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 (* 1 (sqrt (/ (- (* x x) 1) (- 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 (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- 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 x) 1) (- x 1)) #s(hole binary64 x)) |
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2)))))) |
#s(approx (- x 1) #s(hole binary64 x)) |
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3))))) x)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/4 (sqrt (/ 1 x)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (sqrt (pow x 3))) (* 1/4 (* (sqrt x) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))) x)))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1))))) |
#s(approx (* (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))) (neg.f64 x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x) |
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(literal -1/8 binary64) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
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#s(literal -1/2 binary64) |
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(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (* (sqrt x) 1) (sqrt.f64 x)) |
#s(approx x x) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (pow x -5/2) (pow.f64 x #s(literal -5/2 binary64))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (sqrt (* (* x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (sqrt.f64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- 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 x) 1) (- x 1)) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) 1) (- x 1)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (+.f64 (neg.f64 x) (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)) |
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (*.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) (*.f64 x x))) |
#s(approx (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (*.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (/ (* (/ 1 (sqrt x)) 3/8) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64))) |
#s(approx (* (/ 1 (sqrt x)) 3/8) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x))) |
#s(approx (/ 1/2 (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- 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 (sqrt (/ (- (* x x) 1) (- x 1))) #s(literal 1 binary64)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- 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 x) 1) (- x 1)) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) 1) (- x 1)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (* x x) 1) #s(literal -1 binary64)) |
#s(approx (- (* x x) 1) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64))) |
#s(approx (* (sqrt x) 1) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal -5/2 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) x) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (sqrt.f64 x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* x x) 1) (- x 1)) x) |
#s(approx (/ (- (* x x) 1) (- x 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) x)) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal -5/2 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (sqrt.f64 x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (sqrt.f64 x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* x x) 1) (- x 1)) x) |
#s(approx (/ (- (* x x) 1) (- x 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (- (* x x) 1) (*.f64 x x)) |
#s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (- x 1) x) |
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)) #s(literal -1/4 binary64))) x))) x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 x)) #s(literal -1/4 binary64))) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)) #s(literal -1/4 binary64)))) x))) x))) (*.f64 x x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -5/128 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 5/128 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))) |
#s(approx (* (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 5/128 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))))) |
#s(approx (pow x -5/2) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (/ 1 (sqrt (* (* x x) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (sqrt (* (* x x) x)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (* 1/2 (sqrt x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (neg.f64 (neg.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x)) #s(literal -1 binary64)))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (/ 1 (sqrt x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (* (/ -1/2 x) (/ (- (/ 1 (sqrt x)) (sqrt x)) x)) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/4 binary64)) x)) (neg.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))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)) (neg.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))) x))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 3/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) x))) x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5/8 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64))) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 3/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) x))) x))) (*.f64 x x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) #s(literal -1 binary64))))) x))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal -1/16 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal -1/16 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) |
#s(approx (- x 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (* (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
Compiled 22 131 to 2 265 computations (89.8% saved)
35 alts after pruning (32 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 408 | 22 | 430 |
| Fresh | 10 | 10 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 422 | 35 | 457 |
| Status | Accuracy | Program |
|---|---|---|
| 7.2% | (/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 39.1% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| ▶ | 99.1% | (/.f64 (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
| 39.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 5.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) | |
| 5.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x)) #s(literal -1 binary64))))) | |
| 39.1% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| ▶ | 98.3% | (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 83.5% | (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 98.8% | (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 96.8% | (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| ▶ | 98.5% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 97.1% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 98.5% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 98.0% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 26.0% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 7.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) | |
| 26.4% | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 82.7% | #s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))) | |
| 66.3% | #s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) | |
| 81.6% | #s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)))) | |
| ▶ | 97.1% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
| 81.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 64.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))) x))) | |
| 97.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) | |
| 97.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) | |
| ✓ | 66.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 98.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) | |
| ▶ | 97.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
| 98.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))) | |
| 33.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x))))) |
Compiled 2 960 to 1 782 computations (39.8% saved)
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 x)) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(sqrt.f64 x) |
x |
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
(pow.f64 x #s(literal -5/2 binary64)) |
#s(literal -5/2 binary64) |
#s(literal -5/128 binary64) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(literal 1/16 binary64) |
(sqrt.f64 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3)))) |
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2)))) |
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3)))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (- 1/2 (* 1/8 (/ 1 x))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/4 (sqrt (/ 1 x)))) (pow x 2)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (sqrt (pow x 3))) (* 1/4 (* (sqrt x) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* -1/8 x)) (pow x 2))) 1/2) x)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 5/128 (/ 1 (pow x 3))) (+ 1/2 (+ (/ -1/8 x) (* 1/16 (/ 1 (pow x 2)))))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))) x)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3))))) x)))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/4 (sqrt (/ 1 x)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (sqrt (pow x 3))) (* 1/4 (* (sqrt x) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -1 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | -inf | ((/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) (/ -1/8 (sqrt x)) -1/8 (sqrt x) x (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (pow x -5/2) -5/2 -5/128 (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) 1/2 (/ 1/16 (sqrt (* (* x x) x))) 1/16 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (sqrt (+ x 1)) (+ x 1) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/ 1/2 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) (/ -1/2 x) -1/2 (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (* (sqrt x) (sqrt (+ x 1))) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) |
| 6.0ms | x | @ | inf | ((/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) (/ -1/8 (sqrt x)) -1/8 (sqrt x) x (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (pow x -5/2) -5/2 -5/128 (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) 1/2 (/ 1/16 (sqrt (* (* x x) x))) 1/16 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (sqrt (+ x 1)) (+ x 1) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/ 1/2 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) (/ -1/2 x) -1/2 (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (* (sqrt x) (sqrt (+ x 1))) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) |
| 6.0ms | x | @ | 0 | ((/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) (/ -1/8 (sqrt x)) -1/8 (sqrt x) x (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (pow x -5/2) -5/2 -5/128 (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) 1/2 (/ 1/16 (sqrt (* (* x x) x))) 1/16 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (sqrt (+ x 1)) (+ x 1) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/ 1/2 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) (/ -1/2 x) -1/2 (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (* (sqrt x) (sqrt (+ x 1))) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 941 | 10707 |
| 0 | 1013 | 8007 |
| 0 | 5569 | 7706 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 x)) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) |
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) |
#s(literal -1/8 binary64) |
(sqrt.f64 x) |
x |
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
(pow.f64 x #s(literal -5/2 binary64)) |
#s(literal -5/2 binary64) |
#s(literal -5/128 binary64) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(literal 1/16 binary64) |
(sqrt.f64 (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x)))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3)))) |
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2)))) |
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3)))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2)))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5)))))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (- 1/2 (* 1/8 (/ 1 x))) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (/ 1/8 x)) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (/ (- (+ 1/2 (* 1/16 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (* 5/128 (/ 1 (pow x 3))))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x)))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt x)))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x))))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/4 (sqrt (/ 1 x)))) (pow x 2)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (sqrt (+ x 1))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (sqrt (pow x 3))) (* 1/4 (* (sqrt x) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* -1/8 x)) (pow x 2))) 1/2) x)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 5/128 (/ 1 (pow x 3))) (+ 1/2 (+ (/ -1/8 x) (* 1/16 (/ 1 (pow x 2)))))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)))) |
#s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))) x)))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3)))))) |
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3))))) x)))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/4 (sqrt (/ 1 x)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (sqrt (pow x 3))) (* 1/4 (* (sqrt x) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))))) x)) (* 1/4 (sqrt x))) x)) (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 2)))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x))))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x))))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (sqrt (/ 1 x)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -1 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x))) (neg.f64 (sqrt.f64 x))) |
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#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) |
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#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (/ -1/8 (sqrt x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx x x) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (pow x -5/2) (pow.f64 x #s(literal -5/2 binary64))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (sqrt (* (* x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x))) |
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (+.f64 (neg.f64 x) (sqrt.f64 x)) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (*.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) (*.f64 x x))) |
#s(approx (/ 1/2 (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) x)) |
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (sqrt.f64 x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal -5/2 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 x x) x))) x)) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) x)) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) x)) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal -5/2 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) x) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal -5/2 binary64)) (+.f64 (+.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 3/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) x))) x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5/8 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64))) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 3/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) x))) x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/16 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64))))) x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -5/128 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 5/128 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))) |
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 5/128 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))))) |
#s(approx (pow x -5/2) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (/ 1/16 (sqrt (* (* x x) x))) (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) |
#s(approx (sqrt (* (* x x) x)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))) |
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))))) |
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/4 binary64)) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) x))) |
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) x))) |
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (/ (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) x) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (* (/ -1/2 x) (- (/ 1 (sqrt x)) (sqrt x))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 3/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) x))) x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5/8 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64))) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 3/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) x))) x))) (*.f64 x x))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (neg.f64 (neg.f64 x))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))) |
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1/8 binary64) x)) x)) #s(literal -1 binary64)))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)) #s(literal -1/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) x))) x))) (*.f64 x x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/4 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -5/8 binary64) (sqrt.f64 x)) #s(literal -1/4 binary64))) x)) (fma.f64 (*.f64 #s(literal -3/4 binary64) (sqrt.f64 x)) #s(literal -1/4 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) x))) x))) (*.f64 x x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))) |
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -5/128 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))))) |
#s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 5/128 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) |
#s(approx (+ (* (pow x -5/2) -5/128) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x))))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 5/128 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))))) |
#s(approx (* (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
Compiled 27 392 to 2 544 computations (90.7% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 482 | 7 | 489 |
| Fresh | 9 | 18 | 27 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 496 | 28 | 524 |
| Status | Accuracy | Program |
|---|---|---|
| 7.2% | (/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 39.1% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 39.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) | |
| 5.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) | |
| 5.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) | |
| 6.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x)) #s(literal -1 binary64))))) | |
| 39.1% | (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 99.2% | (/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 x x) x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 98.9% | (/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 98.4% | (/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 97.2% | (/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 99.0% | (/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/16 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) | |
| 82.8% | (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 98.8% | (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 26.0% | (/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 7.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) | |
| 26.4% | (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) | |
| 97.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) x)) | |
| 81.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) | |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| 64.4% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))) x))) | |
| 97.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) | |
| ✓ | 5.7% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 98.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) | |
| ✓ | 97.0% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
| 98.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))) | |
| 33.3% | #s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x))))) |
Compiled 3 588 to 1 063 computations (70.4% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/16 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 x x))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 x x) x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x)) #s(literal -1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))) x))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 x x) x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 23.0ms | x |
| 15.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 99.2% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/16 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 x x))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(approx (/ (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/16 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 11.0ms | x |
| 8.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 99.0% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) #s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x))))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 17.0ms | x |
| 6.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.9% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(approx (+ (* -1/8 (/ 1 (sqrt x))) (+ (* -5/128 (pow x -5/2)) (+ (* 1/16 (/ 1 (sqrt (* (* x x) x)))) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(approx (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 98.4% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (* 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (* (sqrt x) 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
2 calls:
| 18.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 97.2% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 #s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 97.0% | 1 | x |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.7% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) |
| 5.7% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 1× | fuel |
Compiled 283 to 92 computations (67.5% saved)
Compiled 636 to 232 computations (63.5% saved)
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