
Time bar (total: 18.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 3.1% | 0% | 7 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 3.1% | 0% | 8 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 7.8% | 0% | 9 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 7.8% | 0% | 10 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 10.1% | 0% | 11 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 10.1% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 10.2s | 5 911× | 5 | exit |
| 1.6s | 2 866× | 1 | valid |
| 1.4s | 2 859× | 2 | valid |
| 205.0ms | 2 531× | 0 | valid |
| 196.0ms | 1 576× | 0 | exit |
| 160.0ms | 1 051× | 1 | exit |
| 120.0ms | 136× | 4 | exit |
| 2.0ms | 1× | 3 | exit |
| 2.0ms | 1× | 2 | exit |
ival-pow: 9.6s (75.2% of total)adjust: 2.5s (19.7% of total)ival-div!: 373.0ms (2.9% of total)ival-add!: 147.0ms (1.1% of total)ival-sub!: 141.0ms (1.1% of total)exact: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 109 | 1 | (6.300702204538294e+112 4.678422120277564e+209) | 0 | - | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 44 | 29 | (7.869864398750168e-143 -3.466198486316957e-47) | 0 | - | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) n) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | cancellation | 110 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 73 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 131 | 0 |
| - | 52 | 73 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 131 | 0 | 0 |
| - | 52 | 0 | 73 |
| number | freq |
|---|---|
| 0 | 73 |
| 1 | 183 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 137.0ms | 262× | 1 | valid |
| 122.0ms | 186× | 2 | valid |
| 5.0ms | 64× | 0 | valid |
Compiled 85 to 28 computations (67.1% saved)
ival-pow: 172.0ms (84.8% of total)adjust: 17.0ms (8.4% of total)ival-div!: 7.0ms (3.5% of total)ival-add!: 3.0ms (1.5% of total)ival-sub!: 3.0ms (1.5% of total)Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 88 |
| 1 | 31 | 84 |
| 2 | 37 | 84 |
| 3 | 61 | 84 |
| 4 | 144 | 84 |
| 5 | 950 | 82 |
| 6 | 5326 | 82 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.0% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 26 to 16 computations (38.5% saved)
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) n) |
n |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n)))) |
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n))) |
#s(approx n #s(hole binary64 n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n))) |
| 18.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n))) |
| 9.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n))) |
| 8.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n))) |
| 1.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 327 | 2278 |
| 0 | 333 | 2030 |
| 1 | 2123 | 2017 |
| 0 | 8169 | 1898 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) n) |
n |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n)))) |
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n))) |
#s(approx n #s(hole binary64 n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))) (sinh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 n #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 n)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 n))) |
(/.f64 #s(literal 1 binary64) n) |
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) |
n |
(*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) |
(pow.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(exp.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n))) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx x x) |
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n))) (*.f64 (*.f64 x x) x))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)) |
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 (*.f64 x x) x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))) |
#s(approx (pow x (/ 1 n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/3 binary64) n)) x)))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/3 binary64) n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n))) x)))) x))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x))) |
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/3 binary64) n)) x)))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)))) |
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (/ 1 n) (/.f64 #s(literal 1 binary64) n)) |
#s(approx n n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64) (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64)))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 n n) n)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 n n) n)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64))))) n)) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 1 binary64))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(literal 1 binary64))) |
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) |
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) |
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64))) |
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64))) |
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) |
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) |
Compiled 3 350 to 509 computations (84.8% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 88 | 13 | 101 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 89 | 13 | 102 |
| Status | Accuracy | Program |
|---|---|---|
| 20.8% | (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) | |
| 34.1% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))) | |
| 21.3% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| ▶ | 15.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 24.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 43.7% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 36.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 43.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 37.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)) | |
| ▶ | 55.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| ▶ | 59.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
| ▶ | 73.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
| 64.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
Compiled 848 to 486 computations (42.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
(neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)) |
(/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n) |
(+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) |
(+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n) |
(+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
(*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
#s(literal -1/6 binary64) |
(-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 3 binary64) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(log.f64 x) |
n |
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) |
#s(literal 1/2 binary64) |
(-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) |
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (log.f64 x) (log.f64 x)) |
(neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(neg.f64 (log.f64 x)) |
(*.f64 n x) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(*.f64 n n) |
(/.f64 #s(literal 1/2 binary64) n) |
(/.f64 #s(literal 1 binary64) n) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) |
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 n n) n) |
(-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) |
(/.f64 #s(literal 1/3 binary64) n) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* -1 (/ x n)) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))) (* -1/2 (/ (pow (log x) 2) (pow n 2)))))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* x (- (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n))) (* -1/2 (/ (pow (log x) 2) (pow n 2)))))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* x (- (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n))) (* -1/2 (/ (pow (log x) 2) (pow n 2)))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (+ (* -1 x) (* 1/6 (/ (pow (log x) 3) (pow n 2))))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (+ (* -1 x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (- (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow x 2) n)) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* (pow x 2) (- (* x (- (* 1/2 (/ 1 n)) (* 1/6 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* (pow x 2) (- (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (* 1/4 (/ 1 (pow n 2))) (* 11/24 (/ 1 n))))) (* 1/6 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (- (* -1/2 (pow (log x) 2)) (* 1/6 (/ (pow (log x) 3) n))) n))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n))) (* 1/6 (/ (pow (log x) 3) (pow n 2)))))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 1/6 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n))))) (* 1/6 (/ (pow (log x) 3) (pow n 2)))))) |
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#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 2)))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (/ (- (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))) |
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)))) |
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) #s(hole binary64 (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)))) |
#s(approx n #s(hole binary64 n)) |
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow n 2))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/2 (/ x (pow n 2))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ 1/2 (pow n 2)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/2 (* -1/2 n)) (pow n 2)))) |
#s(approx (/ 1/2 (* n n)) #s(hole binary64 (/ 1/2 (pow n 2)))) |
#s(approx (* n n) #s(hole binary64 (pow n 2))) |
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n))) |
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/6 (/ (pow x 3) (pow n 3))))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3)))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/6 (/ (pow x 2) (pow n 3))))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3)))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* 1/6 (/ x (pow n 3))))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3)))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3)))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* 1/6 (/ x (pow n 3))))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3)))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* 1/3 (* n x)))))) (pow n 3)))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ 1/6 (pow n 3)))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (+ 1/6 (* -1/2 n)) (pow n 3)))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3)))) |
#s(approx (/ 1/6 (* (* n n) n)) #s(hole binary64 (/ 1/6 (pow n 3)))) |
#s(approx (* (* n n) n) #s(hole binary64 (pow n 3))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ -1/2 (pow n 2)))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ (- (* 1/3 n) 1/2) (pow n 2)))) |
#s(approx (/ 1/3 n) #s(hole binary64 (/ 1/3 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (log x) (log (+ 1 x))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (+ (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) (log (+ 1 x))) n))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (log x) (log (+ 1 x))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (* -1 (log (+ 1 x))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (/ (- (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1)) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* -1/2 x))) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) n))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ -1/2 n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 (/ 1 n)) 1/2) n))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/3 x) 1/2))) n))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/3 x) 1/2) n))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* 1/3 (/ x n)))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) n))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) n))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ 1/3 n))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ 1/3 n))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)))) |
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#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) |
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#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
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#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* 1/2 x) 1) n)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)))) |
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#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
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#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 57.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) (log (+ 1 x)) (+ 1 x) 1 x 3 (pow (log x) 3) (log x) n (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3) |
| 52.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) (log (+ 1 x)) (+ 1 x) 1 x 3 (pow (log x) 3) (log x) n (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3) |
| 51.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) (log (+ 1 x)) (+ 1 x) 1 x 3 (pow (log x) 3) (log x) n (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3) |
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2653 | 33716 |
| 0 | 2762 | 31738 |
| 0 | 9358 | 29550 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2))))))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x))))))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (* x (- (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (* (pow n 2) x)))))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 3)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x))))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 3)))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3))))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (+ (* -1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 3)))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log x) (log (+ 1 x))))))) (pow n 3)))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (/ (+ (* -1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 2)))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (- (* n (- (log x) (log (+ 1 x)))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 2)))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 2)))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (- (* -1 (* n (log (+ 1 x)))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 2)))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (/ (+ (* -1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 2)))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 2)))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (/ (- (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))) |
#s(approx (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)))) |
#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) #s(hole binary64 (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)))) |
#s(approx n #s(hole binary64 n)) |
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow n 2))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/2 (/ x (pow n 2))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ 1/2 (pow n 2)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/2 (* -1/2 n)) (pow n 2)))) |
#s(approx (/ 1/2 (* n n)) #s(hole binary64 (/ 1/2 (pow n 2)))) |
#s(approx (* n n) #s(hole binary64 (pow n 2))) |
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n))) |
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/6 (/ (pow x 3) (pow n 3))))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3)))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/6 (/ (pow x 2) (pow n 3))))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3)))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* 1/6 (/ x (pow n 3))))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3)))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3)))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* 1/6 (/ x (pow n 3))))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3)))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* 1/3 (* n x)))))) (pow n 3)))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ 1/6 (pow n 3)))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (+ 1/6 (* -1/2 n)) (pow n 3)))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3)))) |
#s(approx (/ 1/6 (* (* n n) n)) #s(hole binary64 (/ 1/6 (pow n 3)))) |
#s(approx (* (* n n) n) #s(hole binary64 (pow n 3))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ -1/2 (pow n 2)))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ (- (* 1/3 n) 1/2) (pow n 2)))) |
#s(approx (/ 1/3 n) #s(hole binary64 (/ 1/3 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (log x) (log (+ 1 x))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (+ (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) (log (+ 1 x))) n))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (log x) (log (+ 1 x))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (* -1 (log (+ 1 x))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (/ (- (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1)) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* -1/2 x))) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) n))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ -1/2 n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 (/ 1 n)) 1/2) n))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/3 x) 1/2))) n))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/3 x) 1/2) n))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* 1/3 (/ x n)))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) n))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) n))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ 1/3 n))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ 1/3 n))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (log x) (log (+ 1 x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))) n)))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* 1/2 x) 1) n)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n)))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1/3 x)) n)))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n)))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n)))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x)) n)))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x)) n)))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n)))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
(neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)) |
(/.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x))) (neg.f64 n)) |
(/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n) |
(+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n) (/.f64 (log.f64 x) n)) |
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(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))))) (neg.f64 n)) |
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(neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
(*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
#s(literal -1/6 binary64) |
(*.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) |
(log1p.f64 x) |
(log.f64 (+.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 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x)) |
(*.f64 (log.f64 x) (*.f64 (log.f64 x) (log.f64 x))) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) |
(log.f64 x) |
n |
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) |
#s(literal 1/2 binary64) |
(-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) |
(*.f64 (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x))) |
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (log.f64 x)) |
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 x (log.f64 x))) |
(neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (neg.f64 n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (/.f64 (log.f64 x) n)) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
(/.f64 (neg.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) (neg.f64 (*.f64 n x))) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(-.f64 (cosh.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(+.f64 (cosh.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (sinh.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 #s(literal -1 binary64) (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(-.f64 #s(literal 0 binary64) (log.f64 x)) |
(log.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 n x) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
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(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) n)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 (*.f64 n n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n n) n)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 n n))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(*.f64 (neg.f64 n) (neg.f64 n)) |
(*.f64 (fabs.f64 n) (fabs.f64 n)) |
(*.f64 n n) |
(pow.f64 n #s(literal 2 binary64)) |
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#s(approx (log (+ 1 x)) x) |
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#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx x x) |
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#s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) |
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#s(approx (/ (+ 1 x) x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ 1 x) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
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#s(approx (exp (neg (/ (neg (log x)) n))) (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) |
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#s(approx (neg (log x)) (neg.f64 (log.f64 x))) |
#s(approx (* n x) (*.f64 n x)) |
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#s(approx (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (*.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 n x)))) |
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#s(approx (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (*.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) x))) |
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#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) x) (fma.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x))))) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))) x) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 x)) (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64))) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (log.f64 x) (log.f64 x)))))))))))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) x)) |
#s(approx (pow (log (+ 1 x)) 3) (*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) |
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#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 x)) (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x))))))))))) |
#s(approx (log (+ 1 x)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) |
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
#s(approx (+ 1 x) x) |
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (pow (log x) 3) (*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) |
#s(approx (log x) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) |
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) x))) |
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) x))) x)) |
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))) x)) |
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#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) x))) |
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#s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))))) x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x))) |
#s(approx (pow (log (+ 1 x)) 3) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64))) |
#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))) |
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#s(approx (pow (log (+ 1 x)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))) |
#s(approx (log (+ 1 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (log (+ 1 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ 1 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))) |
#s(approx (log (+ 1 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))) |
#s(approx (pow (log x) 3) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64))) |
#s(approx (log x) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) |
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x))) |
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x))) x))) |
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x))) x))) |
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x))) |
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) x))) |
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)))) x))) x))) |
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)))) x))) x))) |
#s(approx (* (log (+ 1 x)) (log (+ 1 x))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (* (log (+ 1 x)) (log (+ 1 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) |
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#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n))) n))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n))) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) (*.f64 n x))) (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n x)) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n x)))) n) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) n))) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) n)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n))) |
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) |
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) n)))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal 1 binary64))) n)))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) n) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal 1 binary64)))) n)))) |
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) n) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) n) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal 1 binary64)))) n)))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) x))) #s(literal 1 binary64)) n))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) n) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) x)))) #s(literal 1 binary64)) n))) |
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) n) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) n) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) x)))) #s(literal 1 binary64)) n))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) x)) n))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) n) (*.f64 #s(literal -1/3 binary64) x))) n))) |
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (/.f64 x n)))) n) (*.f64 #s(literal -1/3 binary64) x))) n))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) n) (*.f64 #s(literal -1/3 binary64) x)) n))) |
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (/.f64 x n)))) n) (*.f64 #s(literal -1/3 binary64) x)) n))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) n))) |
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)) n)) #s(literal 1/3 binary64)) n))) |
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) n))) |
Compiled 58 385 to 6 418 computations (89% saved)
37 alts after pruning (36 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 666 | 33 | 699 |
| Fresh | 5 | 3 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 675 | 37 | 712 |
| Status | Accuracy | Program |
|---|---|---|
| 21.3% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| 11.8% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| 31.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 26.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 29.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 43.7% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 36.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 43.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 14.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 55.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| 30.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) | |
| 59.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) | |
| 52.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) | |
| 32.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) | |
| 45.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) | |
| 27.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) | |
| 28.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) | |
| 52.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) | |
| 28.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) | |
| 53.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x))) | |
| 45.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) | |
| ▶ | 53.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
| ▶ | 45.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
| 56.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x))))) n))) | |
| 57.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 #s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| 44.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 #s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| 60.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) x))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| 47.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| 49.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| 63.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| 45.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) | |
| 28.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) | |
| ▶ | 32.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
| 45.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) | |
| ▶ | 64.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) (log.f64 x)) n))) |
| 47.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (*.f64 n (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 n n) n)))) | |
| 39.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n))))) |
Compiled 3 872 to 2 096 computations (45.9% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) (log.f64 x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) (log.f64 x)) n)) |
(/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) (log.f64 x)) n) |
(-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) (log.f64 x)) |
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n)) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n) |
(-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) |
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (log.f64 x) (log.f64 x)) |
(log.f64 x) |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
(/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) |
(*.f64 n x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
(/.f64 #s(literal 1 binary64) n) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(/.f64 x n) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x)) |
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n) |
(+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) |
(neg.f64 (log.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n)))) |
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#s(approx (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) #s(hole binary64 (* -2 (/ (log (/ 1 x)) (* n x))))) |
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* n x)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))) |
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#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)))) |
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))) |
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#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) |
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#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (* -1/2 (/ (* (log x) (log x)) n)) #s(hole binary64 (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))) |
#s(approx (/ (* (log x) (log x)) n) #s(hole binary64 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 3)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x))))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 3)))) |
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#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n))) |
#s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) #s(hole binary64 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) |
#s(approx n #s(hole binary64 n)) |
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) (* n x)))) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) n))) |
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n)))) |
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#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (/ (+ (* 1/2 (pow (log x) 2)) (* n (+ n (log x)))) (pow n 2)))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) (pow n 2))))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) (pow n 2))))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2)))) |
#s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) n)))) |
#s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) #s(hole binary64 (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (- (log (+ 1 x)) (log x)))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (log (+ 1 x)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1)) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 1)) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (/ (log x) n))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (* -1 (/ (log x) n)))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
#s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) #s(hole binary64 (* -1 (log x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (log x) (log (+ 1 x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))))) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log (+ 1 x)) (+ 1 x) 1 x (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n)) -1/2 (/ (* (log x) (log x)) n)) |
| 33.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log (+ 1 x)) (+ 1 x) 1 x (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n)) -1/2 (/ (* (log x) (log x)) n)) |
| 33.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log (+ 1 x)) (+ 1 x) 1 x (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n)) -1/2 (/ (* (log x) (log x)) n)) |
| 24.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log (+ 1 x)) (+ 1 x) 1 x (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n)) -1/2 (/ (* (log x) (log x)) n)) |
| 22.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log (+ 1 x)) (+ 1 x) 1 x (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (* 1/2 (/ 1 (* n x))) (/ 1 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n)) -1/2 (/ (* (log x) (log x)) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1436 | 14109 |
| 0 | 1495 | 12426 |
| 0 | 8376 | 11594 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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#s(approx (+ 1 x) #s(hole binary64 x)) |
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#s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) #s(hole binary64 (* -1 (/ (log (/ 1 x)) (* n x))))) |
#s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) #s(hole binary64 (/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))) x))) |
#s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) #s(hole binary64 (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))))) x))) |
#s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) #s(hole binary64 (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2)))))) x))) |
#s(approx (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) #s(hole binary64 (* -2 (/ (log (/ 1 x)) (* n x))))) |
#s(approx (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) #s(hole binary64 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x)))) x))) |
#s(approx (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) #s(hole binary64 (/ (- (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -2/3 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x))))) (/ 1 (* n (pow x 2)))) x))) |
#s(approx (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) #s(hole binary64 (/ (- (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -2/3 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (/ 11/12 (* n (pow x 3))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x))))))) (/ 1 (* n (pow x 2)))) x))) |
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#s(approx (* (log (+ 1 x)) (log (+ 1 x))) #s(hole binary64 (pow (log (/ 1 x)) 2))) |
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#s(approx (* (log x) (log x)) #s(hole binary64 (pow (log (/ 1 x)) 2))) |
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (/ (log (/ 1 x)) n))) (* n x)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (/ (log (/ 1 x)) n))))) |
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#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n))) |
#s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) #s(hole binary64 (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (* -1/2 (/ (* (log x) (log x)) n)) #s(hole binary64 (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))) |
#s(approx (/ (* (log x) (log x)) n) #s(hole binary64 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 3)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x))))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 3)))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2))))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n))) |
#s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n) #s(hole binary64 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) |
#s(approx n #s(hole binary64 n)) |
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) (* n x)))) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) n))) |
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n)))) |
#s(approx (+ (/ x n) 1) #s(hole binary64 (/ (+ n x) n))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) (pow n 2))))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (/ (+ (* 1/2 (pow (log x) 2)) (* n (+ n (log x)))) (pow n 2)))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) (pow n 2))))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) (pow n 2))))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2)))) |
#s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) n)))) |
#s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) #s(hole binary64 (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (- (log (+ 1 x)) (log x)))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (log (+ 1 x)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1)) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 1)) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (/ (log x) n))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (* -1 (/ (log x) n)))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
#s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) #s(hole binary64 (* -1 (log x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (log x) (log (+ 1 x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))))) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) #s(hole binary64 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) #s(hole binary64 (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (log.f64 x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (log.f64 x)) n)) |
(/.f64 (neg.f64 (-.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (log.f64 x)) n) |
(-.f64 (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) n) (/.f64 (log.f64 x) n)) |
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#s(literal 1 binary64) |
x |
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#s(literal 1/2 binary64) |
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(log.f64 x) |
n |
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(*.f64 n x) |
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#s(literal -1 binary64) |
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(neg.f64 (log.f64 x)) |
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#s(approx x x) |
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#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 n x)))) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) n))) n)))) |
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) |
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) n)))) |
#s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) |
#s(approx (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n)) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n))) |
#s(approx (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n) (neg.f64 (/.f64 (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n))) |
Compiled 35 807 to 3 436 computations (90.4% saved)
42 alts after pruning (39 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 410 | 18 | 428 |
| Fresh | 10 | 21 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 423 | 42 | 465 |
| Status | Accuracy | Program |
|---|---|---|
| 21.3% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| ▶ | 11.8% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
| 31.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 26.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 29.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 43.7% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 36.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 13.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| 34.1% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 43.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 55.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| 30.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) | |
| 59.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| 52.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) | |
| 32.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) | |
| 45.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) | |
| 27.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) | |
| 28.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) | |
| 52.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) | |
| 28.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) | |
| ▶ | 45.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
| 24.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (pow.f64 x (log.f64 x))) n))) n)))) (*.f64 n x))) | |
| 53.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) | |
| 40.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))))) (*.f64 n x))) | |
| ✓ | 45.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
| 47.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| 49.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| ▶ | 63.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
| 45.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) | |
| ▶ | 45.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
| 28.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) | |
| 32.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) | |
| 45.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) | |
| 47.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 n n) n)))) | |
| 55.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (log.f64 x))))) n))) | |
| ▶ | 55.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
| 36.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64))))))) (log.f64 x)) n))) | |
| 36.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) | |
| 37.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) (log.f64 x)) n))) | |
| 45.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) | |
| 39.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n))))) | |
| 45.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))) |
Compiled 4 582 to 2 427 computations (47% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
(neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)) |
(/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n) |
(+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) |
(+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) |
(/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) |
#s(literal -1/2 binary64) |
(*.f64 (log.f64 x) (log.f64 x)) |
(log.f64 x) |
x |
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) |
#s(literal 1/6 binary64) |
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
n |
(neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)) |
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 n x) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
#s(literal 1/2 binary64) |
(*.f64 n n) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n)) |
(/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n) |
(-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) |
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) |
#s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)) |
(/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (* -1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* -1 (/ x n)) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (/ (log x) n))) (* -1/2 (/ (pow (log x) 2) (pow n 2)))))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* x (- (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n))) (* -1/2 (/ (pow (log x) 2) (pow n 2)))))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* x (- (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n))) (* -1/2 (/ (pow (log x) 2) (pow n 2)))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (+ (* -1 x) (* 1/6 (/ (pow (log x) 3) (pow n 2))))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (+ (* -1 x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (- (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow x 2) n)) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* (pow x 2) (- (* x (- (* 1/2 (/ 1 n)) (* 1/6 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (- (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* (pow x 2) (- (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (* 1/4 (/ 1 (pow n 2))) (* 11/24 (/ 1 n))))) (* 1/6 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))) (* -1/2 (/ (pow (log x) 2) n))))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (- (* -1/2 (pow (log x) 2)) (* 1/6 (/ (pow (log x) 3) n))) n))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n))) (* 1/6 (/ (pow (log x) 3) (pow n 2)))))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 1/6 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n))))) (* 1/6 (/ (pow (log x) 3) (pow n 2)))))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (+ (* 1/6 (/ 1 (pow n 2))) (* x (- (* 11/24 (/ 1 n)) (* 1/4 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n))))) (* 1/6 (/ (pow (log x) 3) (pow n 2)))))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (- (* -1/2 (pow (log x) 2)) (* 1/6 (/ (pow (log x) 3) n))))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (- (+ (* -1/2 (pow (log x) 2)) (* 1/2 (pow x 2))) (* 1/6 (/ (pow (log x) 3) n))))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (- (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* x (- (* 1/6 (/ 1 n)) 1/2))))) (* 1/6 (/ (pow (log x) 3) n))))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (- (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* x (- (+ (* 1/6 (/ 1 n)) (* x (- 11/24 (* 1/4 (/ 1 n))))) 1/2))))) (* 1/6 (/ (pow (log x) 3) n))))) |
#s(approx (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) #s(hole binary64 (- (* -1/2 (pow (log x) 2)) (* 1/6 (/ (pow (log x) 3) n))))) |
#s(approx (* -1/2 (* (log x) (log x))) #s(hole binary64 (* -1/2 (pow (log x) 2)))) |
#s(approx (* (log x) (log x)) #s(hole binary64 (pow (log x) 2))) |
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#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 2)))) |
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#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (/ (- (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))) |
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#s(approx (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) #s(hole binary64 (/ (- (* -1/2 (* n (pow (log x) 2))) (* 1/6 (pow (log x) 3))) n))) |
#s(approx n #s(hole binary64 n)) |
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) (* n x)))) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) n))) |
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n))) |
#s(approx (+ 1 (/ (log x) n)) #s(hole binary64 (/ (log x) n))) |
#s(approx (+ 1 (/ (log x) n)) #s(hole binary64 (/ (+ n (log x)) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n)))) |
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#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/2 (/ x (pow n 2))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ 1/2 (pow n 2)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/2 (* -1/2 n)) (pow n 2)))) |
#s(approx (/ 1/2 (* n n)) #s(hole binary64 (/ 1/2 (pow n 2)))) |
#s(approx (* n n) #s(hole binary64 (pow n 2))) |
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n))) |
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#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)))) |
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#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n))) |
#s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (log x) (log (+ 1 x))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))) |
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#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) |
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x)))) |
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1)) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (+ 1 (/ (log x) n)) #s(hole binary64 1)) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* -1/2 x))) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) n))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ -1/2 n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 (/ 1 n)) 1/2) n))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (- (log (+ 1 x)) (log x)))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (log (+ 1 x)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (log x) (log (+ 1 x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))) n)))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))))) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* 1/2 x) 1) n)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 80.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) (* -1/2 (* (log x) (log x))) -1/2 (* (log x) (log x)) (log x) x (* 1/6 (/ (pow (log x) 3) n)) 1/6 (/ (pow (log x) 3) n) (pow (log x) 3) 3 n (neg (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (/ (log x) n) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (* -1/2 (/ (* (log x) (log x)) n)) (/ (* (log x) (log x)) n)) |
| 37.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) (* -1/2 (* (log x) (log x))) -1/2 (* (log x) (log x)) (log x) x (* 1/6 (/ (pow (log x) 3) n)) 1/6 (/ (pow (log x) 3) n) (pow (log x) 3) 3 n (neg (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (/ (log x) n) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (* -1/2 (/ (* (log x) (log x)) n)) (/ (* (log x) (log x)) n)) |
| 36.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) (* -1/2 (* (log x) (log x))) -1/2 (* (log x) (log x)) (log x) x (* 1/6 (/ (pow (log x) 3) n)) 1/6 (/ (pow (log x) 3) n) (pow (log x) 3) 3 n (neg (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (/ (log x) n) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (* -1/2 (/ (* (log x) (log x)) n)) (/ (* (log x) (log x)) n)) |
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2102 | 27561 |
| 0 | 2162 | 25899 |
| 0 | 8996 | 23901 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (- (* n (- (log x) (log (+ 1 x)))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 2)))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (/ (+ (* -1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 2)))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (- (* -1 (* n (log (+ 1 x)))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 2)))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (/ (+ (* -1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 2)))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 2)))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (/ (- (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))) |
#s(approx (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) #s(hole binary64 (* -1/6 (/ (pow (log x) 3) n)))) |
#s(approx (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) #s(hole binary64 (/ (- (* -1/2 (* n (pow (log x) 2))) (* 1/6 (pow (log x) 3))) n))) |
#s(approx n #s(hole binary64 n)) |
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) (* n x)))) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) n))) |
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n))) |
#s(approx (+ 1 (/ (log x) n)) #s(hole binary64 (/ (log x) n))) |
#s(approx (+ 1 (/ (log x) n)) #s(hole binary64 (/ (+ n (log x)) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow n 2))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/2 (/ x (pow n 2))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ 1/2 (pow n 2)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/2 (* -1/2 n)) (pow n 2)))) |
#s(approx (/ 1/2 (* n n)) #s(hole binary64 (/ 1/2 (pow n 2)))) |
#s(approx (* n n) #s(hole binary64 (pow n 2))) |
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2))))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n))) |
#s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (log x) (log (+ 1 x))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (+ (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))))) (log (+ 1 x))) n))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (log x) (log (+ 1 x))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))) (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (* -1 (log (+ 1 x))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (/ (- (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) |
#s(approx (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) #s(hole binary64 (* -1/2 (pow (log x) 2)))) |
#s(approx (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1)) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (+ 1 (/ (log x) n)) #s(hole binary64 1)) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* -1/2 x))) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) n))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ -1/2 n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 (/ 1 n)) 1/2) n))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 1)) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (- (log (+ 1 x)) (log x)))) |
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) #s(hole binary64 (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (log (+ 1 x)))) |
#s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (log x) (log (+ 1 x))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
#s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (* -1 (- (log x) (log (+ 1 x))))) n)))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)))) |
#s(approx (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))) n)))) |
#s(approx (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))))) |
#s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x))))) |
#s(approx (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) #s(hole binary64 (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) |
#s(approx (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))))) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* 1/2 x) 1) n)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))) |
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
(neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)) |
(/.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x))) (neg.f64 n)) |
(/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n) |
(+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n) (/.f64 (log.f64 x) n)) |
(/.f64 (+.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x))))) |
(+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))))) |
(+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) |
(/.f64 (neg.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))) (neg.f64 n)) |
(/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n) |
#s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) |
#s(literal -1/2 binary64) |
(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x))) |
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (log.f64 x)) |
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 x (log.f64 x))) |
(log.f64 x) |
x |
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) |
#s(literal 1/6 binary64) |
(/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 n)) |
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) |
(*.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x)) |
(*.f64 (log.f64 x) (*.f64 (log.f64 x) (log.f64 x))) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64))) |
#s(literal 3 binary64) |
n |
(neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(log1p.f64 x) |
(log.f64 (+.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 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (neg.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 x)) |
(/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x) |
#s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 n #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(/.f64 (neg.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))) (neg.f64 (*.f64 n x))) |
(/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)) |
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n)) (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n)) |
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#s(approx (* -1/2 (* (log x) (log x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) |
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#s(approx (+ 1 x) x) |
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#s(approx (- (* -1/2 (* (log x) (log x))) (* 1/6 (/ (pow (log x) 3) n))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) n)))) |
#s(approx (* -1/2 (* (log x) (log x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) |
#s(approx (* (log x) (log x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))) |
#s(approx (log x) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
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#s(approx (/ (pow (log x) 3) n) (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) n)) |
#s(approx (pow (log x) 3) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64))) |
#s(approx (neg (log (+ 1 x))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (neg (log (+ 1 x))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (neg (log (+ 1 x))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) |
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#s(approx (log (+ 1 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (log (+ 1 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ 1 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))) |
#s(approx (log (+ 1 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))) |
#s(approx (/ (log (/ (+ 1 x) x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x))) (/.f64 #s(literal 1 binary64) n)) x))) |
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#s(approx (/ (log (/ (+ 1 x) x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) x)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x))) (/.f64 #s(literal 1 binary64) n)) x))) |
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#s(approx (+ 1 (/ (log x) n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n) (/.f64 (log.f64 #s(literal -1 binary64)) n)))) |
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#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))) |
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#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) n) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x))) x)))) |
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#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) (*.f64 n x)))))) |
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#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n))) n)))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) n))) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) n)))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n))) |
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) n))) |
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n))) |
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) |
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) n)))) |
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) n))) |
Compiled 48 154 to 4 045 computations (91.6% saved)
44 alts after pruning (38 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 7 | 487 |
| Fresh | 3 | 31 | 34 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 485 | 44 | 529 |
| Status | Accuracy | Program |
|---|---|---|
| 21.3% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| 31.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 26.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 10.1% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| 29.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 43.7% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 36.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 13.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| 34.1% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 43.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 6.1% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| 30.7% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) | |
| ✓ | 55.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| 59.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| 52.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) | |
| 32.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) | |
| 45.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) | |
| 27.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) | |
| 28.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) | |
| 52.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) | |
| 28.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) | |
| ✓ | 45.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
| 24.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (pow.f64 x (log.f64 x))) n))) n)))) (*.f64 n x))) | |
| 53.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) | |
| 45.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) | |
| 32.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) | |
| 40.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))))) (*.f64 n x))) | |
| ✓ | 45.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
| 47.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| 49.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) | |
| 45.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) | |
| ✓ | 45.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
| 28.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) | |
| 32.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) | |
| 45.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) | |
| 47.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 n n) n)))) | |
| 46.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x))))) n))) | |
| ✓ | 55.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
| 36.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 #s(approx (log (+ 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) | |
| 36.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) | |
| 37.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) (log.f64 x)) n))) | |
| 45.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) | |
| 39.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n))))) | |
| 45.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))) |
Compiled 6 587 to 1 840 computations (72.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) #s(approx (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) x))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 n n) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (*.f64 n (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 n n) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 #s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 #s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (log.f64 x))))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x))))) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
4 calls:
| 28.0ms | n |
| 19.0ms | (/.f64 #s(literal 1 binary64) n) |
| 17.0ms | x |
| 12.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 4 | (/.f64 #s(literal 1 binary64) n) |
| 82.3% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 87.2% | 2 | x |
| 86.4% | 5 | n |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 #s(approx (log (+ 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (pow.f64 x (log.f64 x))) n))) n)))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64))))))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
1 calls:
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 #s(approx (log (+ 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (pow.f64 x (log.f64 x))) n))) n)))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64))))))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(approx (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
1 calls:
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 #s(approx (log (+ 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (pow.f64 x (log.f64 x))) n))) n)))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64))))))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 #s(approx (log (+ 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) #s(approx (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (pow.f64 x (log.f64 x))) n))) n)))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (log.f64 x) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal 1/2 binary64))))))) (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) n))) (log.f64 x)) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 14.0ms | x |
| 13.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 4 | (/.f64 #s(literal 1 binary64) n) |
| 80.8% | 2 | x |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (* -1 (/ (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 #s(approx (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) (log.f64 x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (neg (log x)) (* -1/2 (/ (* (log x) (log x)) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
2 calls:
| 14.0ms | (/.f64 #s(literal 1 binary64) n) |
| 10.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 6 | n |
| 86.3% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
1 calls:
| 8.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
1 calls:
| 14.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
4 calls:
| 7.0ms | n |
| 7.0ms | (/.f64 #s(literal 1 binary64) n) |
| 7.0ms | x |
| 6.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.9% | 6 | n |
| 76.2% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 63.0% | 3 | x |
| 74.9% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (+.f64 n (log.f64 x)) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (+ (neg (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) n))) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (/ (log x) n)) (/.f64 (log.f64 x) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
3 calls:
| 6.0ms | (/.f64 #s(literal 1 binary64) n) |
| 6.0ms | n |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 4 | n |
| 64.8% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 69.5% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 17 to 14 computations (17.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
1 calls:
| 22.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 n n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
4 calls:
| 3.0ms | (/.f64 #s(literal 1 binary64) n) |
| 3.0ms | x |
| 3.0ms | n |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 3 | x |
| 50.9% | 4 | n |
| 47.7% | 2 | (/.f64 #s(literal 1 binary64) n) |
| 45.6% | 1 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.0% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 #s(approx (/ (+ 1 x) x) #s(literal 1 binary64))) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(approx (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) (/.f64 #s(literal 1 binary64) n)) x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) |
4 calls:
| 1.0ms | n |
| 1.0ms | (/.f64 #s(literal 1 binary64) n) |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.7% | 1 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 30.7% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 30.7% | 1 | n |
| 30.7% | 1 | x |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 0.12064267277678593 | 38533228.75854295 |
| 36.0ms | 40× | 2 | valid |
| 10.0ms | 60× | 1 | valid |
| 3.0ms | 44× | 0 | valid |
| 2.0ms | 28× | 0 | exit |
Compiled 1 141 to 697 computations (38.9% saved)
ival-pow: 39.0ms (84.9% of total)adjust: 3.0ms (6.5% of total)ival-div!: 2.0ms (4.4% of total)ival-sub!: 1.0ms (2.2% of total)ival-add!: 1.0ms (2.2% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.12064267277678593 | 38533228.75854295 |
Compiled 1 051 to 652 computations (38% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.12064267277678593 | 38533228.75854295 |
Compiled 1 006 to 625 computations (37.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.00017931602629895772 | 0.0017803003667114295 |
| 9.0ms | 31× | 2 | valid |
| 5.0ms | 33× | 1 | valid |
| 2.0ms | 32× | 0 | valid |
Compiled 700 to 415 computations (40.7% saved)
ival-pow: 10.0ms (71.2% of total)adjust: 2.0ms (14.2% of total)ival-div!: 1.0ms (7.1% of total)ival-sub!: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.010808493413983473 | 87824095885134.19 |
| 0.0ms | 1.1646350304912788e-57 | 4.770123838533379e-41 |
| 0.0ms | -9.286669973685676e-38 | -3.934465241499054e-42 |
Compiled 14 to 14 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.627875181037667e+144 | 6.908467823915874e+174 |
| 0.0ms | 0.010808493413983473 | 87824095885134.19 |
| 0.0ms | 1.1646350304912788e-57 | 4.770123838533379e-41 |
| 0.0ms | -9.286669973685676e-38 | -3.934465241499054e-42 |
Compiled 14 to 14 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.627875181037667e+144 | 6.908467823915874e+174 |
| 0.0ms | 0.010808493413983473 | 87824095885134.19 |
| 0.0ms | 1.1646350304912788e-57 | 4.770123838533379e-41 |
| 0.0ms | -9.286669973685676e-38 | -3.934465241499054e-42 |
Compiled 14 to 14 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.627875181037667e+144 | 6.908467823915874e+174 |
| 0.0ms | 0.010808493413983473 | 87824095885134.19 |
| 0.0ms | 1.1646350304912788e-57 | 4.770123838533379e-41 |
| 0.0ms | -9.286669973685676e-38 | -3.934465241499054e-42 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.729516453529705e-6 | 1.0 |
| 0.0ms | -2.2604601692677306e-6 | 0.0 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.729516453529705e-6 | 1.0 |
| 0.0ms | -inf | -7.320411420597139e-6 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.729516453529705e-6 | 1.0 |
| 0.0ms | -inf | -7.320411420597139e-6 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 1.4025829604255297e+162 | 2.5538081519907885e+166 |
| 28.0ms | 0.12064267277678593 | 38533228.75854295 |
| 39.0ms | 107× | 2 | valid |
| 11.0ms | 46× | 1 | valid |
| 6.0ms | 87× | 0 | valid |
| 2.0ms | 30× | 0 | exit |
Compiled 1 244 to 759 computations (39% saved)
ival-pow: 36.0ms (70% of total)ival-div!: 7.0ms (13.6% of total)adjust: 6.0ms (11.7% of total)ival-add!: 1.0ms (1.9% of total)ival-sub!: 1.0ms (1.9% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4025829604255297e+162 | 2.5538081519907885e+166 |
| 22.0ms | 0.12064267277678593 | 38533228.75854295 |
| 10.0ms | 25× | 0 | valid |
| 5.0ms | 18× | 2 | valid |
| 3.0ms | 21× | 1 | valid |
Compiled 1 226 to 750 computations (38.8% saved)
ival-pow: 6.0ms (67.7% of total)adjust: 1.0ms (11.3% of total)ival-div!: 1.0ms (11.3% of total)ival-sub!: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4025829604255297e+162 | 2.5538081519907885e+166 |
Compiled 632 to 381 computations (39.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.4025829604255297e+162 | 2.5538081519907885e+166 |
| 4.0ms | 11× | 2 | valid |
| 0.0ms | 4× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
| 0.0ms | 2× | 0 | exit |
Compiled 528 to 341 computations (35.4% saved)
ival-pow: 3.0ms (82.1% of total)adjust: 1.0ms (27.4% of total)ival-div!: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-sub!: 0.0ms (0% of total)| 1× | fuel |
Compiled 1 817 to 230 computations (87.3% saved)
Compiled 3 660 to 476 computations (87% saved)
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