Hyperbolic arc-(co)secant
Time bar (total: 1.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 33.3% | 12.5% | 25% | 0% | 0% | 62.5% | 0% | 4 |
| 60% | 18.7% | 12.5% | 0% | 0% | 68.7% | 0% | 5 |
| 77.8% | 21.9% | 6.2% | 0% | 0% | 71.8% | 0% | 6 |
| 88.2% | 23.4% | 3.1% | 0% | 0% | 73.4% | 0% | 7 |
| 93.9% | 24.2% | 1.6% | 0% | 0% | 74.2% | 0% | 8 |
| 96.9% | 24.6% | 0.8% | 0% | 0% | 74.6% | 0% | 9 |
| 98.4% | 24.8% | 0.4% | 0% | 0% | 74.8% | 0% | 10 |
| 99.2% | 24.9% | 0.2% | 0% | 0% | 74.9% | 0% | 11 |
| 99.6% | 24.9% | 0.1% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 604.0ms | 8 256× | 0 | valid |
| 1.0ms | 21× | 0 | invalid |
ival-mult!: 117.0ms (27.2% of total)ival-div!: 115.0ms (26.7% of total)ival-log: 78.0ms (18.1% of total)ival-sqrt: 62.0ms (14.4% of total)ival-sub!: 40.0ms (9.3% of total)ival-add!: 17.0ms (3.9% of total)adjust: 2.0ms (0.5% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 27 |
| 1 | 84 | 27 |
| 2 | 314 | 26 |
| 3 | 1097 | 26 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
Compiled 20 to 18 computations (10% saved)
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1)))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | -inf | ((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x)) |
| 2.0ms | x | @ | inf | ((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x)) |
| 2.0ms | x | @ | 0 | ((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 1 x) 1 x (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))) (- 1 (* x x)) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 1386 |
| 0 | 235 | 1076 |
| 0 | 1273 | 1052 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1)))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))) |
| Outputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)) |
(+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(tan.f64 (acos.f64 x)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(sin.f64 (acos.f64 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cos.f64 (asin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx x x) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64)) |
#s(approx (sqrt (- 1 (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (- 1 (* x x)) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) x)) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x)) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x)) |
#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x))) |
#s(approx (- 1 (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (-.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))))) |
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) x))) |
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x))) |
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x))) |
Compiled 1 060 to 398 computations (62.5% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 4 | 72 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 69 | 4 | 73 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
| ▶ | 100.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ▶ | 99.5% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
| ▶ | 0.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
Compiled 47 to 47 computations (0% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 2)) |
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (sqrt -1)))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (/ 1 x))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (sqrt -1))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x))))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) 2 x (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2 (* x x) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x))) |
| 2.0ms | x | @ | -inf | ((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) 2 x (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2 (* x x) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x))) |
| 1.0ms | x | @ | 0 | ((log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) -1 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ 2 x) 2 x (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* -1/2 (* x x)) 2) x) (+ (* -1/2 (* x x)) 2) -1/2 (* x x) (log (/ (+ 1 (sqrt (- 1 (* x x)))) x)) (/ (+ 1 (sqrt (- 1 (* x x)))) x) (+ 1 (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (- 1 (* x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 1565 |
| 0 | 279 | 1246 |
| 0 | 1430 | 1213 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 2)) |
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* -1/2 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (sqrt -1)))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (/ 1 x))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (sqrt -1))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (/ 1 x)))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x))))))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) (log.f64 x)) |
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(literal 1 binary64) |
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(sin.f64 (acos.f64 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cos.f64 (asin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx x x) |
#s(approx (+ (* -1/2 (* x x)) 2) #s(literal 2 binary64)) |
#s(approx (+ (* -1/2 (* x x)) 2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64)) |
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (- 1 (* x x)) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* -1/2 (* x x)) 2) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
#s(approx (+ (* -1/2 (* x x)) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x)) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) x)) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x)) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x)) |
#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x))) |
#s(approx (- 1 (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))) x)) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) #s(literal 1 binary64)) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (/ (+ (* -1/2 (* x x)) 2) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) x))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) (sqrt.f64 #s(literal -1 binary64))) x))) |
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))) x)) #s(literal 1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) x))) |
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) x))) |
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x))) |
#s(approx (sqrt (- 1 (* x x))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) x))) |
Compiled 1 305 to 545 computations (58.2% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 0 | 101 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 101 | 4 | 105 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
| ✓ | 100.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| ✓ | 99.5% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
| ✓ | 0.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
Compiled 96 to 79 computations (17.7% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Outputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 2.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 100.0% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 100.0% | 1 | x |
Compiled 20 to 18 computations (10% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))) |
3 calls:
| 2.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 2.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 100.0% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 100.0% | 1 | x |
Compiled 20 to 18 computations (10% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
3 calls:
| 2.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 1.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 99.5% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 99.5% | 1 | x |
Compiled 20 to 18 computations (10% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
3 calls:
| 1.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 1.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 0.0% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 0.0% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 0.0% | 1 | x |
Compiled 20 to 18 computations (10% saved)
| 1× | done |
Compiled 41 to 28 computations (31.7% saved)
Compiled 51 to 37 computations (27.5% saved)
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