
Time bar (total: 2.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 1 |
Compiled 17 to 12 computations (29.4% saved)
| 522.0ms | 3 417× | 2 | valid |
| 476.0ms | 4 716× | 1 | valid |
| 4.0ms | 123× | 0 | valid |
ival-sqrt: 334.0ms (42.4% of total)adjust: 251.0ms (31.8% of total)ival-sub!: 121.0ms (15.3% of total)ival-add!: 83.0ms (10.5% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 24 | 32 |
| 2 | 30 | 32 |
| 3 | 62 | 28 |
| 4 | 268 | 28 |
| 5 | 2407 | 28 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.5% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
Compiled 16 to 14 computations (12.5% saved)
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ 1 x) #s(hole binary64 1)) |
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ 1 x) #s(hole binary64 x)) |
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (sqrt (- 1 x)) (- 1 x)) |
| 2.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (sqrt (- 1 x)) (- 1 x)) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (sqrt (- 1 x)) (- 1 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 1305 |
| 0 | 229 | 1094 |
| 0 | 1250 | 1036 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x)))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))) |
#s(approx (+ 1 x) #s(hole binary64 1)) |
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))) |
#s(approx (+ 1 x) #s(hole binary64 x)) |
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1)))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(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 #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 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(approx (+ 1 x) (+.f64 x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64)) |
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x)) |
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ 1 x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (sqrt (+ 1 x)) (*.f64 (+.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 (+ 1 x)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ 1 x) x) |
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x))) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x)) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x)) |
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x)) |
#s(approx (- 1 x) (neg.f64 x)) |
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))) |
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))))) |
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))) |
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 740 to 272 computations (63.2% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 3 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 54 | 4 | 58 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.5% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.7% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| ▶ | 99.6% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
| ▶ | 99.3% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 48 to 45 computations (6.3% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
x |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) |
#s(literal 33/1024 binary64) |
#s(literal 7/128 binary64) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2))))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 7/128)) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* 1/8 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* 1/8 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 33/1024 (pow x 7)))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 33/1024 (pow x 6)))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4)))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* 33/1024 (pow x 2)))) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) x (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (* x x) 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 7/128) |
| 2.0ms | x | @ | -inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) x (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (* x x) 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 7/128) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) x (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (* x x) 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 7/128) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 1623 |
| 0 | 242 | 1467 |
| 0 | 1305 | 1427 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
x |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) |
#s(literal 33/1024 binary64) |
#s(literal 7/128 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2))))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 7/128)) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* 1/8 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* 1/8 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 33/1024 (pow x 7)))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 33/1024 (pow x 6)))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4)))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* 33/1024 (pow x 2)))) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
x |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))) |
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x))) (-.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x)) #s(literal 49/16384 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 7/128 binary64))) |
(/.f64 (+.f64 #s(literal 343/2097152 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 49/16384 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x)) (*.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 3 binary64)) #s(literal 343/2097152 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 7/128 binary64))))) |
(fma.f64 (*.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) |
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) |
(-.f64 #s(literal 7/128 binary64) (*.f64 #s(literal -33/1024 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 7/128 binary64)) |
(+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x)) |
#s(literal 33/1024 binary64) |
#s(literal 7/128 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx x x) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) x) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* x x) 1/8) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* x x) 1/8) 1) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) x) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(literal 7/128 binary64)) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x)) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) |
#s(approx (* (+ (* (* x x) 1/8) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (* x x) 1/8) 1) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (+ (* (* x x) 1/8) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 33/1024 binary64))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 33/1024 binary64))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (*.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 33/1024 binary64))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)))) |
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x)) |
#s(approx (+ (* 33/1024 (* x x)) 7/128) (*.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)) (*.f64 x x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (*.f64 (-.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (-.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 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)))))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64)) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64))))) |
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 33/1024 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))) |
Compiled 1 537 to 574 computations (62.7% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 1 | 110 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 1 | 1 |
| Total | 110 | 4 | 114 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.5% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.7% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
| ✓ | 99.6% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
| ✓ | 99.3% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 48 to 46 computations (4.2% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) |
(*.f64 x x) |
x |
#s(literal 33/1024 binary64) |
#s(literal 7/128 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 1/8 x))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* 7/128 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) |
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128)) |
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* 33/1024 (pow x 7)))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* 33/1024 (pow x 6)))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 33/1024 (pow x 5)))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2)))) |
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) (* x x) x 33/1024 7/128 1/8 1) |
| 1.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) (* x x) x 33/1024 7/128 1/8 1) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) (* x x) x 33/1024 7/128 1/8 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 1664 |
| 0 | 239 | 1507 |
| 0 | 1278 | 1460 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) |
(*.f64 x x) |
x |
#s(literal 33/1024 binary64) |
#s(literal 7/128 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2)))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 1/8 x))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* 7/128 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) |
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128)) |
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* 33/1024 (pow x 7)))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* 33/1024 (pow x 6)))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 33/1024 (pow x 5)))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2)))) |
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x)) |
(fma.f64 #s(literal 1/8 binary64) x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) |
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x)) |
(fma.f64 x #s(literal 1/8 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))) |
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) (-.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) #s(literal 49/16384 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))) |
(/.f64 (+.f64 #s(literal 343/2097152 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 49/16384 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 3 binary64)) #s(literal 343/2097152 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) |
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) |
(fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) |
(-.f64 #s(literal 7/128 binary64) (*.f64 #s(literal -33/1024 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)) |
(+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(literal 33/1024 binary64) |
#s(literal 7/128 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) x) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (*.f64 #s(literal 1/8 binary64) x)) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))) |
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(literal 7/128 binary64)) |
#s(approx (+ (* (* x x) 33/1024) 7/128) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.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))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x)) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 33/1024 binary64))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 33/1024 binary64))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (*.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 33/1024 binary64))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 33/1024 binary64))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)))) |
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* (* x x) 33/1024) 7/128) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) |
#s(approx (+ (* (* x x) 33/1024) 7/128) (*.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)) (*.f64 x x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (*.f64 (-.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (-.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 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)))))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64)) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64))))) |
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 33/1024 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))) |
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64)) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
Compiled 1 476 to 580 computations (60.7% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 91 | 0 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 91 | 4 | 95 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.5% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.7% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
| ✓ | 99.6% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
| ✓ | 99.3% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 96 to 78 computations (18.8% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.7% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.6% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.3% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| 1× | done |
Compiled 34 to 22 computations (35.3% saved)
Compiled 42 to 29 computations (31% saved)
Loading profile data...